Goddard smiled encouragingly at him and patted his shoulder, "Open it, this honor belongs to you!"
He swore it was the most delicious wine he had ever tasted.
Now, all he needs to do is to be more confident in his research results. Let his parents, his alma mater and Princeton, and even his motherland be proud of the glory he has achieved at this moment.
What's more, his proof has been affirmed by "higher civilizations".
This solemn silence lasted until Lu Zhou spoke.
[...Obviously, we have Px (1, 1) ≥ P (x, x^{1/16})-(1/2)∑Px (x, p, x)-Q/2-x^(log4) … (30)]
Staring intently at the curtain on the stage, Maynard's pupils shrank slightly and he murmured quietly.
The audience did not keep him waiting long.
After taking the champagne, Lu Zhou smiled sheepishly and said modestly, "Isn't there still peer review?"
Therefore, this champagne is not only a congratulation, but also a spur to encourage him to persist until the end.
But now it seems that this little notebook is probably no longer of use.
After the lecture, Peter Goddard, dean of the Institute for Advanced Study in Princeton, walked up to the podium with a bottle of champagne and gave Lu Zhou a warm hug.
However, Goddard didn’t think so and said with a smile: “Of course, the Annals of Mathematics will organize a six-member jury to independently review your paper based on today’s meeting minutes. However, after the report meeting, the papers will be opened. Champagne is a Princeton tradition. It’s Princeton’s way of congratulating you, or you can take it as pressure.”
[…]
Reporters standing on both sides of the lecture hall recorded this historic moment with their cameras, and tried to get through the crowded crowd to obtain first-hand information.
Looking at the reaction of the audience, Lu Zhou knew that he had already succeeded halfway.
From those pairs of eyes, he felt the affirmation from his peers.
Now listening to what the instructor said, it seems that the proof has come out
Sitting on the other side of the lecture hall, Helfgott, who had been sitting there without moving, closed the note pad in his hand, with a hint of approval on his face.
The taste is extraordinarily mellow and sweet.
…
It was like the fog in front of my eyes was lifted, and it suddenly became clear.
The PPT was frozen on the last page, and the silence in the lecture hall was frozen on the last second.
When a tool is born, fulfilling its mission is just a matter of course.
He only needs to ensure that a quarter of the people in the end can understand it, and that the reviewers who are about to peer review his paper can understand it, and the core purpose of this report meeting will be achieved.
But at this point, he felt much more relaxed.
Considering the one-in-ten thousand possibility of failure is not what a winner should do, at least not what he should do when he is standing on the podium at this moment.
Attracting the attention and heartbeat of all the audience, the laser pointer in Lu Zhou's hand pointed at the curtain, and the PPT continued to play.
After speaking for forty minutes, Lu Zhou cleared his throat and announced in a hoarse voice: "The proof of Goldbach's conjecture is over here. I think I have proved this proposition."
Review of a world-class mathematical problem may be fast or slow, depending on the complexity of the proof and the prover's understanding of the process he or she has written.
As this stage began, the atmosphere in the lecture hall was obviously pushed to a climax.
To Lu Zhou's surprise, he originally thought that the real challenge would be in the question and answer session, but in the end, the question and answer session was passed easily.
The people behind looked at him with envy, wanting to share in the joy of the winner, but they were unable to get close because they were too far away and the aisles were too crowded.
As for the remaining half, it doesn't matter whether you understand it or not.
Because once he gives up, it means he has to return the champagne.
Several big names in analytic number theory asked a few simple questions and then sat back. The question-and-answer session, which was expected to run out over time, happened to be solved within the 20 minutes he had set aside.
Foam sprayed from the mouth of the bottle, and everyone sitting in the front row was more or less sprayed with foam. However, no one complained, but laughed heartily.
And, it lasted for a long, long time...
He was confident that at least half of the people had understood the theory of group construction.
The letter sent from Moscow to Berlin in 1742 spanned the Austro-Prussian War and spanned two and a half centuries.
He believed that he could answer all the questions the jury had about the paper.
As a result, it seems now that I am the one whose face hurts...
In other words, they have been waiting for this sentence for too long.
Holding the champagne in his hand, Lu Zhou felt the pressure from the fruits of victory.
Before coming, he had read Lu Zhou's paper at least ten times. He wrote down all the problems in it on a note pad one by one, preparing to ask them during the question and answer session.
After countless generations of scholars have worked hard and added bricks and mortar to this building, he finally completed the final step in his hands.
Just a few days ago, he used his mentor's personal blog post to argue with people on the forum, and vowed that the report would eventually turn into a joke.
Although, this moment was not what he expected...
During this period, Lu Zhou had to answer all questions from the jury.
It’s so intoxicating…
Thinking of this, Evan couldn't help but look embarrassed.
It feels a little too early to pop the champagne now.
[... From formula (30), Lemma 8, Lemma 9, and Lemma 10, it can be proved that Theorem 1 is true.]
But now, Lu Zhou didn't pay attention to those insignificant things.
Finally, he reached the final step.
Counting the treasures harvested from it, human civilization has harvested too much.
From the time of the group construction method, this young man from the UK had given up treatment and began to wait silently for the final result.
This atmosphere is brewing in the silent auditorium and in every pen that stops on the notepad. When the group construction method attacked the core of Goldbach's conjecture with overwhelming force, all the audience held their breath, for fear of missing any detail.
To be precise, this is the tradition of Oxford and Cambridge. But Princeton is one of the few Oxford-style universities in the United States, and Goddard also completed his PhD in Cambridge, so it is not an exaggeration to call it a tradition.
[Let N represent a sufficiently large even number, and let Px(1,1) be the number of prime numbers p that satisfy N=p1+p2. Let Cn={∏p|x,p2}(p-1)/(p-2){∏p2}(1-1/(p-1)^2), and let the finite group G=...]
Evan, who was sitting next to him, looked confused.
After receiving encouragement from the dean, Lu Zhou no longer hesitated.
Next, is the proof of Goldbach's conjecture.
With the finishing touch, all the foreshadowings were taken apart, and the context of each step became clear.
As an expert in the field of prime numbers, he has the most profound and intuitive experience.
It only cost a few hundred dollars, but no one wanted to do it.
"Congratulations, Dr. Lu Zhou," the white-haired Goddard patted Lu Zhou on the shoulder and stuffed the champagne into his arms with a smile, "Take it, this victory champagne belongs to you! "
And next, what he has to do is such a thing.
Not only did Helfgott get the answer he wanted, but Lu Zhou, who was standing on the podium, also got what he wanted.
Those areas where he thought there were problems had been answered to his satisfaction.
This mathematical physicist, famous for his research on string theory, once won the Dirac Medal, the highest honor in the field of mathematical physics.
After taking a deep breath, Lu Zhou turned the PPT to the next page.
Maybe tomorrow, Lu Zhou, holding champagne in hand, will appear on the cover of Time Magazine, just like Wiles did.
For a set of novel theories, especially in the field of their own research, everyone's first reaction must be doubt, and after doubt, doubt will follow. As for acceptance or even appreciation, that is the last thing.
The moment he finished speaking, the lecture hall was filled with applause.
"Bombieri's theorem! So that's it... He really did it, it's incredible."
[Proof completed.]