Scholar’s Advanced Technological System

Chapter 215: It's not easy for geniuses either

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If it is to save money for travel, or to work part-time to experience life, I will definitely say it openly.

Seeing that she didn't continue, Lu Zhou probably guessed that it was probably for the same reasons as his, so he changed the topic.

Seeing her slightly embarrassed expression, Lu Zhou always felt...

Lu Zhou's eyebrows twitched fiercely when he saw what was on the plate.

He took out his cell phone and checked the time. Seeing that it was still a while before dinner time, he turned and walked into a street rib shop.

The sieve theory supplemented by topology was originally one of his alternatives. Tao Zhexuan's statement was undoubtedly bad news for him.

"OK."

Lu Zhou: "I just studied for a master's degree at the beginning of this year."

"With the value R=1, we can get from the Cauchy-Schwarz inequality..." Unable to explain, Lu Zhou picked up a pen and wrote down his thoughts on the paper.

As I thought about it, I became hungry.

Sure enough it still doesn’t work!

"Yeah." Vera nodded sheepishly.

"You haven't graduated yet," Tao Zhexuan glanced at Lu Zhou in surprise, "Well... universities in China are really strict."

[|S(α1)|square≤N∑|an|square]

Lu Zhou: "..."

"Why don't you come to Berkeley to teach? The environment here is not bad. We can study this topic together... If you don't think I'm stupid." Tao Zhexuan smiled shyly.

"No scholarship?"

They say meat is cheap in the United States, but he always feels that it’s not much cheaper.

[…]

Just as he was thinking this, a thin waiter carried a plate as wide as a basin and placed it on his table with a little difficulty.

Lu Zhou touched his chin and nodded: "Yes, △ will not be much larger than N+δ^(-1), but the trouble lies in N."

Okay, if you have an IQ of 230, you think you are too stupid. What should you do with ordinary people whose IQ fluctuates around 100

Looking at it this way, the price of meat is indeed quite cheap.

Tao Zhexuan's eyebrows wrinkled slightly and said thoughtfully: "Your idea is very interesting... We need to find an N(δ) value to find △."

It's just that because it is not as important as Polignac's conjecture, it is overshadowed by Lu Zhou, a rising star.

However, this is obviously not enough for one person to finish...

"It doesn't work... or I can't make it." Tao Zhexuan shook his head, picked up a ballpoint pen and wrote down a few lines of calculations on the paper.

Good guy, he thought the ribs here were the kind of ribs he had seen in Western restaurants, but to his surprise, there was a whole rack of ribs on the plate! If you want to make soup, it will be enough to stew several large pots!

On the fourth day of the academic conference, after the one-hour report, Tao Zhexuan invited Lu Zhou to visit his office.

Lu Zhou shook his head: "I'll take the time to study it, but I haven't completely given up on screening hair yet. Maybe it still has potential that we haven't realized yet."

With that said, Tao Zhexuan wrote down his email address on the previous scrap paper, handed it to Lu Zhou, and said with a smile: "Let's contact you via email in the future. If I find anything new, I'll talk to you again."

And just this September, he solved the 80-year-old Erdesh discrepancy problem. This is a very classic problem in the field of number theory and discrete analytic mathematics, and is outside his field of research.

He finally understood why there were so many fat people in the United States.

When someone asked, Lu Zhou suddenly remembered that he hadn't tipped yet, so he took out two dollars in change from his bag.

Lu Zhou coughed slightly and said, "I haven't graduated from my Ph.D. yet. I will probably go to Princeton to study for my Ph.D. early next year."

It can be said that Lu Zhou's gains in the past few days have been quite large.

Lu Zhou smiled and nodded, put away the scratch paper, left his email address on another piece of paper, and said goodbye to Terence Tao.

[∑|S(αm)|square ≤ △∑|αn|square, where αn can be any number]

"Is the sifting method still unworkable?" Lu Zhou asked with a frown.

"Goldbach's conjecture is indeed too difficult. It may need to be put aside for another ten or even twenty years. Maybe you can try the circle method. To be honest, the road to the Great Sieve Discovery may not work."

After ordering a rib set, Lu Zhou took out $19 in change and put it on the counter, then found a seat to sit down.

Lu Zhou asked unexpectedly: "Yes, you have also studied it?"

Plus a pound of roasted potatoes sprinkled with butter and sour cream, and a bowl of Mexican red bean stew and a mysterious soup that probably has cream...

"No, it was Professor Zellberg who introduced topology theory into the grand sieve method. I only did a little bit of work based on his work, and you obviously also made a lot of improvements." Lu Zhou smiled. , continued to look at the expression on the paper, and said thoughtfully, "Since am is a good distribution, why not regard R^(-1)·∑|S(αm)| squared as ∫|S(α )|The Riemann sum of squaredα?”

But at this moment, he suddenly discovered that this waiter...

Seems familiar

After exchanging a few words, Lu Zhou couldn't help but sigh in his heart.

Because he was born in Australia, he couldn't speak Mandarin. Although he could speak Cantonese, the sad thing was that Lu Zhou couldn't understand it. The two of them could only communicate in English, unfortunately.

Tao Zhexuan's eyes lit up slightly: "Then what?"

Not only on an academic level, but also in the sense of connections in academic circles.

He had an interesting collection of books, including Euler's manuscripts.

Staring at the calculations on the paper, Lu Zhou touched his chin, frowned, and fell into deep thought.

"Are you Russian?"

The smile was invariably a little bitter.

"Oh, that's understandable," Terence Tao smiled understandingly, "It was the same when I was studying for a master's degree. I would graduate in half a year, but my supervisor insisted on keeping me for a year before letting me go."

Many people he had only seen in newspapers, news, and even textbooks stood in front of him. This feeling was still very strange.

Lu Zhou used to work part-time to pay for tuition and living expenses, so he didn't think there was anything wrong with it.

Lu Zhou handed the tip into her hand and asked doubtfully, "Do you work here?"

After Vera heard her name, she quickly turned around and responded, bowed in a low voice and said sorry to Lu Zhou, and hurried back.

A portion of ribs costs 19 US dollars, which is 110 US dollars when converted into RMB.

Throwing the ballpoint pen on the table, Terence Tao sighed and sighed.

Vera's expression was a little subtle and she shook her head.

For the first time, he realized that talking to someone who was too modest was a headache.

For example, Heim Boulezhi is an academician of the French Academy of Sciences and a foreign academician of the American and Chinese Academy of Sciences. The "Functional Analysis" that Lu Zhou read was the work he compiled. Lu Zhou was deeply impressed by the description and explanation of Sobolev space.

This old gentleman from France was very funny and enthusiastic. Especially after he heard that Lu Zhou had read his book, he became even more enthusiastic about Lu Zhou. He repeatedly said that if he had the opportunity to come to France, he could Go to the Normal School in Paris to find him.

I have to admit that in the field of mathematics, this guy is indeed a genius! His research fields cover all fields of mathematics. He may not be good at many things, but you would be hard-pressed to find something he doesn't know how to do.

The silence lasted for a while, and the two of them raised their heads at the same time and smiled at each other.

Vera obviously didn't expect to meet Lu Zhou here. She smiled sheepishly and whispered: "There is a scholarship..."

While walking towards the hotel, Lu Zhou kept thinking about the problem just now and was puzzled by the solution.

In addition to this enthusiastic and cheerful old French man, Lu Zhou also met Terence Tao, a genius who is well-known in the Chinese mathematics community.

"Sir, are you satisfied with the food?"

"Are you studying Goldbach's conjecture?"

It seems that I asked a question that I shouldn't have asked

[S(α)=∑ane(αn), e(x)=e^(2πxi).M, N∈Z, a1... an is a set of real numbers with modulo 1 well-distributed...]

Tao Zhexuan stopped writing, smiled and said, "I am just trying to do what I do best. You invented this method."

In addition, he looked younger than Lu Zhou expected. There was no way he could tell that he was actually born after the 1975 plan and was already forty this year.

At first, the two just chatted about domestic and foreign affairs, but soon the topic turned to academic issues.

"I tried, just at the beginning of this year, but I soon found that it was not something I could solve. I am still better at researching partial differential equations and harmonic analysis," Terence Tao smiled sheepishly and was very generous. He admitted his shortcomings and continued, "At that time, I read your paper in the Annual Journal of Mathematics and got a lot of inspiration from the topological principles supplemented by the sieve method theory. I thought that if I could improve it, I would say no. It is possible to prove this problem of the century on the basis of Chen's theorem... The result is regrettable."

Just then, someone from the kitchen called her name.

Contrary to the impression, this mathematical genius who often "points out the world" on his blog is unexpectedly shy and loves to laugh in reality.

But what surprised him was that he remembered that it was easy to apply for scholarships in the United States, not to mention the IMO gold medal recommended players. As long as their hobbies are not too broad, it is not difficult to finish college without spending a penny.