If the core idea of the least quadratic non-residual estimation of modular prime numbers in the Group Structure Method came from the large sieve method, then Helfgott's Fourier analysis of the function on the circumference in his thesis was a complement to his theory.
This "belonging to the 99%" had started before he went to California to listen to the lecture last year, and now it was over. The remaining 1% was the inspiration that kept most people away from the door of truth.
And now, this piece of the puzzle was in Lu Zhou's hands.
Before Charles Fefferman finished the lecture, Lu Zhou quietly packed his things. He quietly came and quietly left.
The old professor standing on the podium looked at Lu Zhou and smirked. Then, as if nothing had happened, he continued to teach his number theory class in a slow voice.
When Lu Zhou returned to his apartment, he picked up a pen and began to write on a piece of paper.
His ideas were like a pee bursting out of his pants; he could not stop them!
He finished the fifth page, then the sixth page, the seventh page …
Time slowly passed by.
The clock on the wall passed midday and turned to dusk, until the sky outside the window gradually darkened.
When Lu Zhou reached the end of the sixteenth page, he finally stopped writing and looked at the research results in front of him.
"… Then the introduction of the Bombieri theorem, the following lines are all obvious … Done!"
Lu Zhou took a deep breath and leaned back in his chair. He exhaled the air that had been stuck in his chest for a long time. His frowning eyebrows finally stretched into a smile.
Next was the solution to Goldbach's conjecture.
From now on, his little boat was truly sailing into an unknown sea.
However, he believed that he could do it.
This kind of unshakable belief was similar to Andrew Wiles's feeling when he looked at Fermat's last theorem after he completed the proof of Taniyama's last theorem.
When a tool was completed, fulfilling the mission of the tool was just a matter of pushing the boat with the current.
After nearly two hundred years of research, the Goldbach's conjecture, which had been researched by generations of mathematicians, had finally reached this step.
Lu Zhou did not have any pride in his heart, only honor.
It was an honor that he would be the one to cap this building.
After half a minute, Lu Zhou took out his phone and sent a text message to his supervisor, Deligné, and his friends in Princeton. He told them that his research project had entered a critical stage and that he planned to go into seclusion for a while. He told them not to worry.
Then, he turned off his phone and completely sealed himself in this small room of more than ten square meters …
Since he had already come this far, it shouldn't take too long if everything went smoothly.
If things did not go well …
Then he wouldn't come out!
…
The design of the Princeton Institute for Advanced Study was very interesting. The cafeteria and the lecture hall were designed together. During the afternoon reports and bi-weekly seminars, people sitting here could even listen while eating.
At the same time, the coffee machine was also free to use.
Deligné was sitting in the corner of the cafeteria as he meticulously read the thesis in his hand.
As an academic editor for many journals such as Annual Mathematics and Mathematics Chronicle, he usually did not have much free time. Therefore, he would usually review papers in the hour after lunch.
Unless it was a particularly interesting thesis, he would not bring it back to his office or discuss it with other professors.
Professor Edward Witten sat across from Deligne with a plate of food. He smiled and asked.
"How come I haven't seen your new PhD student recently?"
Out of all the PhD students recruited by Princeton, Lu Zhou was the one that Witten admired the most. Especially after Lu Zhou's mathematical and physics talent at the CERN report, Witten felt like he was looking at his younger self. Witten had always felt regretful that he was not able to recruit Lu Zhou.
Recently, CERN canceled the 750 GeV experiment. He had always wanted to talk to Lu Zhou about the characteristic peak, but unfortunately, he did not have the opportunity.
Professor Deligné did not look away from the thesis as he simply replied, "He recently took a leave of absence."
Witten, "Leave of absence?"
"Yeah," Deligné nodded and said, "He's researching Goldbach's conjecture. I just gave him two weeks of leave."
"Goldbach's conjecture …" Witten was slightly surprised, but he did not change much. He said, "This is an interesting proposition. I thought he was in your research group researching standard conjectures. "
Professor Deligné made a mark on the thesis paper and said, "I invited him, but he wasn't interested, so I didn't force him. For a genius like him, instead of forcing him to do something, it's better to let him do what he wants. "
At this moment, the phone on the table suddenly vibrated.
Professor Deligne picked up his phone and looked at it. His eyebrows suddenly twitched.
[Dear Professor Deligné, I am your student, Lu Zhou. Here's the thing, my research has entered a critical stage. I need to go into seclusion for a while, maybe a month, maybe … I don't know. Anyway, I will give you a satisfactory answer by the end of the year.]
Although he did not see what was written on the phone, he could see the change in his old friend's expression. Witten smiled and asked, "Do you think he can succeed?"
Professor Deligné put down his phone with a blank expression.
He thought for a moment and suddenly sighed. He shook his head and spoke.
"I don't know, I just don't agree with his research method. Closed research was not a good choice, and the worst result might even lead oneself into a dead end. Even if he took a leave of absence to attend a report or conference, I would support him. I could even help him apply for funding. But up until now, as far as I know, all he did was lock himself up in his room. "
Witten raised his eyebrows and asked with a smile, "But you still supported his choice?"
"Yes, but I gave him a year," said Deligné as he shrugged. This strict old man rarely spoke in an uncertain tone. He said, "After all, I can't say that I'm right. When he proved the twin prime conjecture at the Princeton report, I was really surprised. There was even a split second where I had a misconception … "
Witten: "Illusion?"
Deligné went silent for a while before he slowly said, "I thought I saw Grothendieck."
When Edward Witten heard this, he was obviously taken aback.
Grothendieck!
The father of modern algebraic geometry, the pope of modern mathematics!
Many people liked to describe a mathematical genius as Faltings' successor, or even Jean-Pierre Serre's successor. However, very few people compared a mathematical genius to Grothendieck. Even though this was just an exaggeration, it was an exaggeration.
There were definitely no more than five mathematicians that could receive this honor.
After a while, Witten spoke in a surprised tone.
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