Having a car is really convenient and safe.
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
After receiving Xiao Ai's reminder, Lu Zhou opened his computer and logged into his mailbox. He found not just one, but a total of two emails lying in it.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
"So fast?"
After entering the single apartment, he threw his coat and car keys on the sofa. He first went to the kitchen to make himself a cup of coffee, then returned to his work desk and sat down, ready to continue the work he was doing in the middle of the morning.
Was it from Professor Frank
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
[Dear Mr. Lu Zhou, I am greeting you Vera Puyoi at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up a little of your precious time?]
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
After closing the email, Lu Zhou looked at the calculations he had edited casually in the document on the side of the desktop, and was about to fork it and drag it into the recycle bin.
[Because we want to use the circle method to deal with intervals and establish several equal distribution results, we must pave the way for our theory. So we record S1 (q, α) = ∑e (αm cubed/q), C1 (q, α) = ∑e (αm cubed/q squared), and bring it into Td (n, q) = ∑S1 (q , αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)… Then, what can we get? Think for yourself.]
Pulyuy
The series δd(n)=∑Td(n,q) absolutely converges…
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
Let his group construction method return to Goldbach's conjecture...
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
Glancing at Lu Zhou, she said hello in a teasing tone: "Going out to pick up girls?"
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
Let his group construction method return to Goldbach's conjecture...
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
At the end of the email, he did not directly tell Vera what could be gained from these processes. He hoped that she could discover it through her own thinking.
"Going to buy a car."
But just when he was reviewing this paper, he vaguely discovered a detail that he had not noticed before.
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
Let his group construction method return to Goldbach's conjecture...
After shaking the car key on his index finger, Lu Zhou turned around and went back to his room without talking to her.
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
[correct.]
Yes, and very polite.
If she plans to develop in the direction of mathematics in the future, whether she chooses number theory or other directions, this process must be experienced.
After entering the single apartment, he threw his coat and car keys on the sofa. He first went to the kitchen to make himself a cup of coffee, then returned to his work desk and sat down, ready to continue the work he was doing in the middle of the morning.
Was it from Professor Frank
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
Children can be taught!
In about a minute, he received a reply.
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
The main text is only one line.
The clock is ticking, and the night outside the window is getting darker.
Was it from Professor Frank
The main text is only one line.
Taking a sip of the coffee, Lu Zhou felt the bitter taste spreading on his tongue. He suddenly realized that he seemed to have forgotten to add sugar.
It seems that the inherent impression is still causing trouble...
[Master, there is a new email! OVO]
"So fast?"
After entering the single apartment, he threw his coat and car keys on the sofa. He first went to the kitchen to make himself a cup of coffee, then returned to his work desk and sat down, ready to continue the work he was doing in the middle of the morning.
Was it from Professor Frank
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
It's obviously just a little bit different!
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
Having a car is really convenient and safe.
Yes, and very polite.
[Dear Mr. Lu Zhou, I am greeting you Vera Puyoi at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up a little of your precious time?]
Looking at the four completed pages in front of him and the fifth page that could not be continued, Lu Zhou dropped the pen in his hand and scratched his hair irritably.
After receiving Xiao Ai's reminder, Lu Zhou opened his computer and logged into his mailbox. He found not just one, but a total of two emails lying in it.
Looking at the four completed pages in front of him and the fifth page that could not be continued, Lu Zhou dropped the pen in his hand and scratched his hair irritably.
Yes, and very polite.
Although this discovery cannot directly solve the ultimate proposition of Goldbach's conjecture, it can improve his tools!
At least compared to the conceptual question she asked herself last time about closed-orbit integrals and the residue theorem, this question is close to the core of the circle method.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
It's obviously just a little bit different!
If she plans to develop in the direction of mathematics in the future, whether she chooses number theory or other directions, this process must be experienced.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
One of them has been there for almost three days. It was probably sent when he was in retreat. Maybe Xiao Ai reminded him again, but he just didn't notice it.
perhaps
The train of thought was interrupted.
Because the sending address was a bit unfamiliar, Lu Zhou was afraid of delaying anything, so he clicked on the email first.
After closing the email, Lu Zhou looked at the calculations he had edited casually in the document on the side of the desktop, and was about to fork it and drag it into the recycle bin.
Taking a sip of the coffee, Lu Zhou felt the bitter taste spreading on his tongue. He suddenly realized that he seemed to have forgotten to add sugar.
[About the 750GeV signal, I need to talk to you in person... When will you have time?]
At least compared to the conceptual question she asked herself last time about closed-orbit integrals and the residue theorem, this question is close to the core of the circle method.
[Dear Mr. Lu Zhou, I am greeting you Vera Puyoi at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up a little of your precious time?]
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
Pulyuy
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
Although the spelling is English, judging from the pronunciation, it is probably Slavic.
Because the sending address was a bit unfamiliar, Lu Zhou was afraid of delaying anything, so he clicked on the email first.
Sure enough, IMO gold medalists are indeed much more talented in mathematics than the average person.
The series δd(n)=∑Td(n,q) absolutely converges…
Yes, and very polite.
[Because we want to use the circle method to deal with intervals and establish several equal distribution results, we must pave the way for our theory. So we record S1 (q, α) = ∑e (αm cubed/q), C1 (q, α) = ∑e (αm cubed/q squared), and bring it into Td (n, q) = ∑S1 (q , αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)… Then, what can we get? Think for yourself.]
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
However, judging from the wording of the letter, this little girl was too polite. He was not a well-known professor, so there was no need to be so reserved.
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
At the end of the email, he did not directly tell Vera what could be gained from these processes. He hoped that she could discover it through her own thinking.
perhaps
Seeing this, Lu Zhou had a smile on his lips and nodded with satisfaction.
Knowledge of elementary mathematics can be acquired through training, but higher-level knowledge must be sublimated through thinking, because no one can give a standard answer.
Yes, and very polite.
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
It seems that the inherent impression is still causing trouble...
The main text is only one line.
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
It seems that the inherent impression is still causing trouble...
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
After receiving Xiao Ai's reminder, Lu Zhou opened his computer and logged into his mailbox. He found not just one, but a total of two emails lying in it.
Having a car is really convenient and safe.
Having a car is really convenient and safe.
However, at this moment, he suddenly let out a light sigh, stared at the rows of calculations, and fell into deep thought.
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
Having a car is really convenient and safe.
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
perhaps
Seeing this, Lu Zhou raised his eyebrows slightly.
He went to the kitchen to get some sugar, and when he returned to the desk, he suddenly found that he had received a reply.
As short as one line.
It seems that the inherent impression is still causing trouble...
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
Oh, your understanding is quite high.
It seems that the inherent impression is still causing trouble...
In about a minute, he received a reply.
Lu Zhou smiled and replied by editing the email.
Although the spelling is English, judging from the pronunciation, it is probably Slavic.
Was it from Professor Frank
[Thanks.]
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
Lu Zhou smiled and replied by editing the email.
Sure enough, IMO gold medalists are indeed much more talented in mathematics than the average person.
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
[About the 750GeV signal, I need to talk to you in person... When will you have time?]
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
It's obviously just a little bit different!
It seems that the inherent impression is still causing trouble...
"Going to buy a car."
At least compared to the conceptual question she asked herself last time about closed-orbit integrals and the residue theorem, this question is close to the core of the circle method.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
Seeing this, Lu Zhou had a smile on his lips and nodded with satisfaction.
Sure enough, IMO gold medalists are indeed much more talented in mathematics than the average person.
Even Helfgott himself had no hope of proving Goldbach's conjecture by method. Lu Zhou did not expect to discover the blind spots that he had overlooked under the master's nose.
It seems that the inherent impression is still causing trouble...
However, judging from the wording of the letter, this little girl was too polite. He was not a well-known professor, so there was no need to be so reserved.
Lu Zhou smiled and replied by editing the email.
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
Oh, your understanding is quite high.
One of them has been there for almost three days. It was probably sent when he was in retreat. Maybe Xiao Ai reminded him again, but he just didn't notice it.
However, judging from the wording of the letter, this little girl was too polite. He was not a well-known professor, so there was no need to be so reserved.
Children can be taught!
At the end of the email, he did not directly tell Vera what could be gained from these processes. He hoped that she could discover it through her own thinking.
He went to the kitchen to get some sugar, and when he returned to the desk, he suddenly found that he had received a reply.
[Because we want to use the circle method to deal with intervals and establish several equal distribution results, we must pave the way for our theory. So we record S1 (q, α) = ∑e (αm cubed/q), C1 (q, α) = ∑e (αm cubed/q squared), and bring it into Td (n, q) = ∑S1 (q , αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)… Then, what can we get? Think for yourself.]
After receiving Xiao Ai's reminder, Lu Zhou opened his computer and logged into his mailbox. He found not just one, but a total of two emails lying in it.
Sure enough, he was right, he was indeed a promising student.
In about a minute, he received a reply.
[About the 750GeV signal, I need to talk to you in person... When will you have time?]
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
After checking it from beginning to end and confirming that there were no major problems, Lu Zhou clicked send.
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
"Going to buy a car."
One of them has been there for almost three days. It was probably sent when he was in retreat. Maybe Xiao Ai reminded him again, but he just didn't notice it.
Having a car is really convenient and safe.
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
At the end of the email, he did not directly tell Vera what could be gained from these processes. He hoped that she could discover it through her own thinking.
However, at this moment, he suddenly let out a light sigh, stared at the rows of calculations, and fell into deep thought.
perhaps
The clock is ticking, and the night outside the window is getting darker.
Let his group construction method return to Goldbach's conjecture...
Glancing at Lu Zhou, she said hello in a teasing tone: "Going out to pick up girls?"
If she plans to develop in the direction of mathematics in the future, whether she chooses number theory or other directions, this process must be experienced.
Looking at the four completed pages in front of him and the fifth page that could not be continued, Lu Zhou dropped the pen in his hand and scratched his hair irritably.
Even Helfgott himself had no hope of proving Goldbach's conjecture by method. Lu Zhou did not expect to discover the blind spots that he had overlooked under the master's nose.
Knowledge of elementary mathematics can be acquired through training, but higher-level knowledge must be sublimated through thinking, because no one can give a standard answer.
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
After closing the email, Lu Zhou looked at the calculations he had edited casually in the document on the side of the desktop, and was about to fork it and drag it into the recycle bin.
Because the old man's paper was too jumpy and had many too obvious conclusions, Lu Zhou didn't think deeply about it. If Vera hadn't read the paper too carefully and happened to not understand it, he would have almost ended up with this article. Discovered passing by.
It's obviously just a little bit different!
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
Knowledge of elementary mathematics can be acquired through training, but higher-level knowledge must be sublimated through thinking, because no one can give a standard answer.
Lu Zhou smiled and edited an email and clicked send.
Taking a sip of the coffee, Lu Zhou felt the bitter taste spreading on his tongue. He suddenly realized that he seemed to have forgotten to add sugar.
"Going to buy a car."
At least compared to the conceptual question she asked herself last time about closed-orbit integrals and the residue theorem, this question is close to the core of the circle method.
The body of the email is very short.
Although the spelling is English, judging from the pronunciation, it is probably Slavic.
Let his group construction method return to Goldbach's conjecture...
He went to the kitchen to get some sugar, and when he returned to the desk, he suddenly found that he had received a reply.
As short as one line.
Lu Zhou smiled and replied by editing the email.
Sure enough, IMO gold medalists are indeed much more talented in mathematics than the average person.
The main text is only one line.
For the use of the circle method, Helfgott is undoubtedly a master in the field of analytical number theory, just like Chen Jingrun is for the sieve method.
"So fast?"
The clock is ticking, and the night outside the window is getting darker.
Was it from Professor Frank
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
In about a minute, he received a reply.
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
Children can be taught!
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
The body of the email is very short.
The main text is only one line.
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
From here on, the circle method can be introduced to solve proposition (2.1).
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
Yes, and very polite.
However, at this moment, he suddenly let out a light sigh, stared at the rows of calculations, and fell into deep thought.
[Master, there is a new email! OVO]
Having a car is really convenient and safe.
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
The clock is ticking, and the night outside the window is getting darker.
The body of the email is very short.
Seeing this, Lu Zhou had a smile on his lips and nodded with satisfaction.
At least compared to the conceptual question she asked herself last time about closed-orbit integrals and the residue theorem, this question is close to the core of the circle method.
At the end of the email, he did not directly tell Vera what could be gained from these processes. He hoped that she could discover it through her own thinking.
[Because we want to use the circle method to deal with intervals and establish several equal distribution results, we must pave the way for our theory. So we record S1 (q, α) = ∑e (αm cubed/q), C1 (q, α) = ∑e (αm cubed/q squared), and bring it into Td (n, q) = ∑S1 (q , αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)… Then, what can we get? Think for yourself.]
Children can be taught!
[Dear Mr. Lu Zhou, I am greeting you Vera Puyoi at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up a little of your precious time?]
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
Sure enough, he was right, he was indeed a promising student.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
When he thought of this, he immediately sat up.
Because the old man's paper was too jumpy and had many too obvious conclusions, Lu Zhou didn't think deeply about it. If Vera hadn't read the paper too carefully and happened to not understand it, he would have almost ended up with this article. Discovered passing by.
After entering the single apartment, he threw his coat and car keys on the sofa. He first went to the kitchen to make himself a cup of coffee, then returned to his work desk and sat down, ready to continue the work he was doing in the middle of the morning.
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
Sure enough, he was right, he was indeed a promising student.
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
One of them has been there for almost three days. It was probably sent when he was in retreat. Maybe Xiao Ai reminded him again, but he just didn't notice it.
In about a minute, he received a reply.
The train of thought was interrupted.
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
perhaps
"Going to buy a car."
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
Looking at the four completed pages in front of him and the fifth page that could not be continued, Lu Zhou dropped the pen in his hand and scratched his hair irritably.
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
Having a car is really convenient and safe.
Sure enough, IMO gold medalists are indeed much more talented in mathematics than the average person.
Lu Zhou smiled and edited an email and clicked send.
[correct.]
[About the 750GeV signal, I need to talk to you in person... When will you have time?]
[correct.]
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
Although this discovery cannot directly solve the ultimate proposition of Goldbach's conjecture, it can improve his tools!
In about a minute, he received a reply.
Glancing at Lu Zhou, she said hello in a teasing tone: "Going out to pick up girls?"
After checking it from beginning to end and confirming that there were no major problems, Lu Zhou clicked send.
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
[Thanks.]
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
The body of the email is very short.
Yes, and very polite.
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
Lu Zhou smiled and replied by editing the email.
[About the 750GeV signal, I need to talk to you in person... When will you have time?]
Seeing this, Lu Zhou had a smile on his lips and nodded with satisfaction.
When he thought of this, he immediately sat up.
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
After closing the email, Lu Zhou looked at the calculations he had edited casually in the document on the side of the desktop, and was about to fork it and drag it into the recycle bin.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
"So fast?"
However, at this moment, he suddenly let out a light sigh, stared at the rows of calculations, and fell into deep thought.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
The train of thought was interrupted.
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
Knowledge of elementary mathematics can be acquired through training, but higher-level knowledge must be sublimated through thinking, because no one can give a standard answer.
[correct.]
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
Looking at the four completed pages in front of him and the fifth page that could not be continued, Lu Zhou dropped the pen in his hand and scratched his hair irritably.
[Thanks.]
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
For the use of the circle method, Helfgott is undoubtedly a master in the field of analytical number theory, just like Chen Jingrun is for the sieve method.
The series δd(n)=∑Td(n,q) absolutely converges…
The series δd(n)=∑Td(n,q) absolutely converges…
Was it from Professor Frank
The clock is ticking, and the night outside the window is getting darker.
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
The train of thought was interrupted.
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
Because the old man's paper was too jumpy and had many too obvious conclusions, Lu Zhou didn't think deeply about it. If Vera hadn't read the paper too carefully and happened to not understand it, he would have almost ended up with this article. Discovered passing by.
Yes, and very polite.
After entering the single apartment, he threw his coat and car keys on the sofa. He first went to the kitchen to make himself a cup of coffee, then returned to his work desk and sat down, ready to continue the work he was doing in the middle of the morning.
From here on, the circle method can be introduced to solve proposition (2.1).
Because the old man's paper was too jumpy and had many too obvious conclusions, Lu Zhou didn't think deeply about it. If Vera hadn't read the paper too carefully and happened to not understand it, he would have almost ended up with this article. Discovered passing by.
Yes, and very polite.
After checking it from beginning to end and confirming that there were no major problems, Lu Zhou clicked send.
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
After checking it from beginning to end and confirming that there were no major problems, Lu Zhou clicked send.
Children can be taught!
However, at this moment, he suddenly let out a light sigh, stared at the rows of calculations, and fell into deep thought.
At least compared to the conceptual question she asked herself last time about closed-orbit integrals and the residue theorem, this question is close to the core of the circle method.
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
"So fast?"
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
Oh, your understanding is quite high.
Sure enough, he was right, he was indeed a promising student.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
Even Helfgott himself had no hope of proving Goldbach's conjecture by method. Lu Zhou did not expect to discover the blind spots that he had overlooked under the master's nose.
One of them has been there for almost three days. It was probably sent when he was in retreat. Maybe Xiao Ai reminded him again, but he just didn't notice it.
If she plans to develop in the direction of mathematics in the future, whether she chooses number theory or other directions, this process must be experienced.
[correct.]
Having a car is really convenient and safe.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
It's obviously just a little bit different!
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
"Going to buy a car."
The body of the email is very short.
For the use of the circle method, Helfgott is undoubtedly a master in the field of analytical number theory, just like Chen Jingrun is for the sieve method.
When he walked up to the second floor, Molina, who happened to be wearing sportswear, came out of the room carrying a garbage bag, apparently ready to go out for a jog.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
When he thought of this, he immediately sat up.
Lu Zhou was very excited about this unexpected surprise.
Even Helfgott himself had no hope of proving Goldbach's conjecture by method. Lu Zhou did not expect to discover the blind spots that he had overlooked under the master's nose.
[correct.]
After shaking the car key on his index finger, Lu Zhou turned around and went back to his room without talking to her.
Although this discovery cannot directly solve the ultimate proposition of Goldbach's conjecture, it can improve his tools!
But just when he was reviewing this paper, he vaguely discovered a detail that he had not noticed before.
The series δd(n)=∑Td(n,q) absolutely converges…
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
Because the old man's paper was too jumpy and had many too obvious conclusions, Lu Zhou didn't think deeply about it. If Vera hadn't read the paper too carefully and happened to not understand it, he would have almost ended up with this article. Discovered passing by.
Because the old man's paper was too jumpy and had many too obvious conclusions, Lu Zhou didn't think deeply about it. If Vera hadn't read the paper too carefully and happened to not understand it, he would have almost ended up with this article. Discovered passing by.
After shaking the car key on his index finger, Lu Zhou turned around and went back to his room without talking to her.
However, judging from the wording of the letter, this little girl was too polite. He was not a well-known professor, so there was no need to be so reserved.
However, judging from the wording of the letter, this little girl was too polite. He was not a well-known professor, so there was no need to be so reserved.
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
[Dear Mr. Lu Zhou, I am greeting you Vera Puyoi at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up a little of your precious time?]
Was it from Professor Frank
Lu Zhou was very excited about this unexpected surprise.
Knowledge of elementary mathematics can be acquired through training, but higher-level knowledge must be sublimated through thinking, because no one can give a standard answer.
Pulyuy
The series δd(n)=∑Td(n,q) absolutely converges…
Although this discovery cannot directly solve the ultimate proposition of Goldbach's conjecture, it can improve his tools!
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
Sure enough, he was right, he was indeed a promising student.
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
Let his group construction method return to Goldbach's conjecture...
As short as one line.
However, at this moment, he suddenly let out a light sigh, stared at the rows of calculations, and fell into deep thought.
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
Yes, and very polite.
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
perhaps
perhaps
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
He went to the kitchen to get some sugar, and when he returned to the desk, he suddenly found that he had received a reply.
Having a car is really convenient and safe.
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
Parking the car in the parking lot next to the Institute for Advanced Study, Lu Zhou, who was in a good mood, hummed a little tune and returned to the historic apartment building and stepped onto the stairs.
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
Because the sending address was a bit unfamiliar, Lu Zhou was afraid of delaying anything, so he clicked on the email first.
Although this discovery cannot directly solve the ultimate proposition of Goldbach's conjecture, it can improve his tools!
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
Looking at the four completed pages in front of him and the fifth page that could not be continued, Lu Zhou dropped the pen in his hand and scratched his hair irritably.
After spending a day in Philadelphia and watching a movie, Lu Zhou and Senior Chen had a dinner and said goodbye and drove back to Princeton.
[Master, there is a new email! OVO]
Glancing at Lu Zhou, she said hello in a teasing tone: "Going out to pick up girls?"
Lu Zhou was very excited about this unexpected surprise.
Shaking his head, Lu Zhou put these insignificant things aside, looked past the respectful words and the admiration for himself between the lines, and looked directly at the main text.
Even Helfgott himself had no hope of proving Goldbach's conjecture by method. Lu Zhou did not expect to discover the blind spots that he had overlooked under the master's nose.
The train of thought was interrupted.
Putting down the coffee cup, Lu Zhou opened the email with a somewhat surprised expression.
"Going to buy a car."
Sure enough, IMO gold medalists are indeed much more talented in mathematics than the average person.
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
Yes, and very polite.
After closing the email, Lu Zhou looked at the calculations he had edited casually in the document on the side of the desktop, and was about to fork it and drag it into the recycle bin.
It's obviously just a little bit different!
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
At this moment, a message from Xiao Ai suddenly popped up on the screen of his mobile phone.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
Lu Zhou thought for a long time, but he really couldn't connect the weak image and tone of voice with a bearded polar bear holding vodka.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.
The clock is ticking, and the night outside the window is getting darker.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
Pulyuy
[Dear Mr. Lu Zhou, I am greeting you Vera Puyoi at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up a little of your precious time?]
"Going to buy a car."
Taking a sip of the coffee, Lu Zhou felt the bitter taste spreading on his tongue. He suddenly realized that he seemed to have forgotten to add sugar.
[… In the paper reported by Professor Helfgott at the mid-year meeting of the Federal Mathematical Society, the equation in line 11 on page 3 is J(n) = ∫Φ(λ)·G(λ) squared·H(λ)· e|-nλ|dλ, why can we directly draw the conclusion in proposition (2.1) of the paper?]
The pen tip that was shaking rapidly on the paper gradually slowed down and finally stopped.
It's obviously just a little bit different!
My eyes wandered around because I let my thoughts spread, and somehow landed on the computer screen.
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
Although he may have less experience, his understanding ability is very fast, and his intuition for numbers is also quite keen.
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
The body of the email is very short.
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
At this time, Lu Zhou suddenly noticed that he seemed to have an unread email.
If he were a professor at Berkeley, he would definitely not mind taking her as his disciple.
At this time, Lu Zhou suddenly noticed that he seemed to have an unread email.
When he thought of this, he immediately sat up.
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
The train of thought was interrupted.
For the use of the circle method, Helfgott is undoubtedly a master in the field of analytical number theory, just like Chen Jingrun is for the sieve method.
Silently saying sorry to Professor Frank, Lu Zhou clicked on the email that he had almost forgotten.
Was it from Professor Frank
perhaps
The body of the email is very short.
He went to the kitchen to get some sugar, and when he returned to the desk, he suddenly found that he had received a reply.
However, judging from the wording of the letter, this little girl was too polite. He was not a well-known professor, so there was no need to be so reserved.
[... Can we get the absolute convergence of the series δd(n)=∑Td(n,q)?]
The body of the email is very short.
The train of thought was interrupted.
The body of the email is very short.
Suddenly, Lu Zhou seemed to have figured out something. He quickly picked up the pen and started calculating quickly on the paper.
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
As short as one line.
Sure enough, he was right, he was indeed a promising student.
Suddenly thinking of something, Lu Zhou quickly opened the collection on his computer, turned out the paper Helfgott submitted to the year-end meeting of the Federal Mathematical Society, found the third row of page 11, and read down the line. Go down.
Seeing this, Lu Zhou raised his eyebrows slightly.
[About the 750GeV signal, I need to talk to you in person... When will you have time?]
Td(n, q)=∑S1(q,αd cube)·|C1(q,αd cube)|·e(-an/q)/qψsquare(q)…
After shaking the car key on his index finger, Lu Zhou turned around and went back to his room without talking to her.
[correct.]
The main text is only one line.
The wall clock on the wall was ticking, and unknowingly, the hour hand passed half a grid.