If the core idea of ​​the minimum quadratic non-residual estimation of the modular prime number in the group structure method is from the large sieve method, then the part of the thought of the Fourier analysis of the function on the circumference in the Helfgot paper is Plump the leaves for his theory.

This "99" job started before he went to California to listen to the lecture last year, and it is now over. The remaining part of the 1 is the inspiration to keep most people out of the door of truth.

Now, this piece of puzzle has been held in the hands of Lu Zhou.

Didn't wait for Charles Fefferman to finish the lesson, Lu Zhou quietly packed things, as he quietly came, and quietly left.

The old professor standing on the podium just looked at the direction in which he left, and the corner of his mouth smirked a smile, and then, as if nothing had happened, he continued to use his slow voice to talk about his number theory.

Back in the apartment, Lu Zhou picked up the pen and worked **** the paper.

The emerging ideas are like a urine collapse, and the blocks can't stop!

I finished the fifth page of paper, then the sixth and seventh pages...

Time passes by one minute.

The wall clock passed the noon and turned to the dusk until the sky outside the window gradually deepened.

When Lu Zhou wrote the end of the sixteenth page of paper, he finally stopped the tip of the slightly trembled hand and looked at the research results in front of him.

"...and then this introduces the bbieri theorem, and the next dozen lines are obvious... you're done!"

After taking a deep breath, Lu Zhou leaned on the chair and spit out the long-lost turbidity in his chest. The wrinkled eyebrows finally stretched a smile.

Further down is the solution to the Goldbach conjecture.

From now on, his boat is in a real sense, driving into an unknown sea area.

However, he believes he can do it.

This belief, which has no reason but is unshakable, is probably the same as that of Andrew Wyles, after completing the proof of the Gushan Zhicun theorem.

When a tool is completed, the mission of fulfilling the tool is nothing but a boat ride.

The collection of the research of the people, nearly two hundred years of precipitation, after several generations of mathematics masters of the Goldbach conjecture, finally came to this step.

Lu Zhou has no pride in his heart, and some are just honored.

I am honored that he will cap the building.

After recollecting the unspeakable feeling for half a minute, Lu Zhou took out his mobile phone and sent a text message to his mentor Deligne and friends in Princeton, telling them that their subject has entered a critical stage. Retreat for a while, so that they don't have to worry.

Then he turned off his mobile phone and completely enclosed himself in the small room of more than ten square meters...

This step has already arrived, and it should not take too long if it goes well.

If it doesn't go well...

Then he will not come out!

......

The design of the Princeton Institute of Advanced Studies is very interesting. The restaurant and the lecture hall are designed together. At the midday report meeting and the biweek discussion, people sitting here can even eat and listen.

At the same time, the coffee machine here is also free to use.

Sitting in the corner of the restaurant, Deligne looked at the paper in his hand.

As an academic editor of many journals such as the Mathematics Yearbook and the Mathematical Chronicle, he usually has very little spare time, so he usually puts the review time in an hour after lunch.

Unless it is a particularly interesting paper, he will generally not bring it back to the office, or take it out and discuss it with other professors.

Sitting on the opposite side of Deligne with a plate, Professor Edward Witten said with a smile and said hello.

“How have you not seen your new doctoral student recently?”

Among all the doctoral students recently recruited by Princeton, Lu Zhou can be said to be the most appreciated by Witten, especially the mathematical and physical talents he showed at the ern report, which made him seem to see himself in his youth. He has always regretted that he has not been able to earn it.

Recently, ern canceled the experiment on the 750gev energy zone. He always wanted to talk to the young man about the characteristic peak, but unfortunately, there was no chance.

Professor Delini’s gaze did not move away from the paper, but simply replied: “He recently took a vacation.”

Witten: "Leave off?"

"Well," Deligne nodded and replied casually. "He is studying Goldbach's conjecture. I just approved his two-week vacation."

"Goldbach conjecture..." Witten's expression was slightly surprised, but there was not much change. "This is really an interesting proposition. I thought he was studying the standard conjecture in your research group."

While making a mark on the paper, Professor Delini said casually: "I invited him, but he is not interested, and I have not forced. For this genius, he is forced to do something. It’s better to let him play freely in the direction he is interested in.

Just then, the phone on the table suddenly shook.

Seeing the SMS reminder, Professor Delini reached out and picked up the phone and looked at his eyes. The eyebrows suddenly twitched.

Dear Professor Delini, I am your student Lu Zhou. This is the case. My research has entered a critical stage. I need to retreat for a while, maybe a month, maybe... I don't know. In short, before the end of this year, I will give you a satisfactory explanation.

Although I didn't see what was written on the screen of the mobile phone, but the change of the expression of the old friend was a panoramic view. Edward Witten smiled and continued to ask: "Do you think he can succeed?"

Professor Deligne put down his mobile phone with a blank expression.

After thinking for a moment, he suddenly sighed and shook his head.

"I don't know, I just don't agree with his research method. Closed research is not a good choice, and the worst result may even bring himself into a dead end. Even if he asks for leave, he is going to attend the conference, exchange meeting. I support him and even help him apply for funding. But until now, as far as I know, his leave is just to keep himself in the house."

Witten's eyebrows picked and picked and smiled and asked: "But do you still support his choice?"

"Yes, but I gave him a year," Deligne shrugged. The rigorous old man rarely used an uncertain tone. "I don't dare to say that I must not. I will look away, because his performance at the Princeton report at the scene to prove the performance of the prime number conjecture really surprised me. Even for a moment, I have an illusion..."

Witten: "The illusion?"

Deligne was silent for a while, and slowly said: "I seem to see Grottendick."

Hearing this sentence, Edward Witten was obviously stunned.

Grottendick!

The father of modern algebraic geometry, the pope of modern mathematics!

Describe a talent for a mathematical genius in a certain field, many people like the successor of Faltins, or even an exaggeration of Pierresel's successor, but few people will have a mathematics Genius and Grottendick are on par with each other, even if it is just an exaggerated metaphor or expectation.

There are no more than five new generation of mathematicians who can win this honor.

After a while, Witten said in an unexpected tone.

"That's really... amazing."