For the next period of time, Shen Qi will still go to Spelman Hall to sweep classes.

The scope of the course has been sharply reduced from 18 to 4 directions: mathematical physics, algebraic geometry, number theory, and group theory.

These four branches are the areas in which Professor Müller excels.

I attend classes during the day, write papers at night, and sleep from 2 a.m. to 6 a.m. every day.

Stepping into Princeton on August 15, and today is September 30, Shen Qi has not taken a step at the school gate.

The legend about the school gate may be true, but if you want to do well at the university, you have to work hard because your competitors are world-class talents.

Eastern time is 13 hours behind China time, and Shen Qi's messaging with his family and friends is usually in the early hours of U.S. time.

"I am living a full and happy life now, taking a total of 16 courses in four branches this semester, and I am optimistic that I can get 105 credits. Shen Qi chatted with Ou Ye on WeChat, which is one of the few ways he has leisure and entertainment in the United States.

Ou Ye: "I feel distressed. ”

Shen Qi: "Old man Müller is a kind German, and I am very unexpectedly a disciple of the sixth generation of the Göttingen School, by the way, my grandfather is Kurt Gödel, and my grandfather is Albert Einstein. You can learn about the life of my grandfather and my grandfather. ”

Oye: "Pi!"

Shen Qi: "I am now working on two research papers at the same time, one can be understood as an important foreshadowing for RH, and the other is the agreement between me and you --- legacy project. ”

Ouye: "Don't work too hard, go to bed early, it's early in the morning in the United States!"

Shen Qi: "Well, you go to bed early...... I mean naps. ”

After four hours of deep sleep, Shen Qi got up to welcome the morning sun.

"I'm as comfortable as a hibernating bear, and I've never been so comfortable in my life. ”

Stretching, Shen Qi remembered what Einstein had said when he first arrived at Princeton.

After Shen Qi finished washing, he put on sportswear and sneakers, and went downstairs to run for morning exercises, which was a compulsory course for him every day.

To live in the United States and compete in Princeton, the body must be on par.

Many teachers and students in the United States are exercising in the morning, and Americans especially like running, exercising, and fitness because they can't afford to be sick.

Shen Qi ran around the school, passing various buildings.

The doors are locked at PPPL, which is the Princeton Plasma Laboratory, the only national laboratory in the United States to study nuclear fusion.

The main building, the Harvey Fallstone Memorial Hall, is open 24 hours a day, and some students walk out of the main building, their eyes red and tired, as if they have stayed up all night.

Nass House is the oldest and only remaining original building on campus, surviving two fires and artillery shells from the Revolutionary War.

A landmark building in Princeton, Nass House is now home to the principal and the school's top management.

Shortly after taking office, Mr. Johnson, the current president, said in his inaugural speech that the university has never set up popular subjects such as business, law, and medicine, and that it has not been and will not be, at least not during his tenure.

Taking medicine as an example, medical schools must be combined with clinical applications, and it takes a lot of manpower, material resources and funds to operate a huge medical school and clinical medicine system.

Therefore, the University insists on not having a medical school, they only do basic research, small and refined, not greedy but comprehensive, and concentrate all funds and teachers so that thousands of students can receive world-class education.

After running a few kilometers, Shen Qi ran back downstairs of the Graduate Residential College and saw his fellow senior brother, Dr. Jonas, sitting under a tree in a daze.

Jonas spends more than five hours a day under this pine tree, feeding the squirrels and teasing the birds. Shen Qi had already seen it.

I went to the catering department of the Graduate Residential College to buy two cups of coffee and packed them, Shen Qi came to the tree and handed Jonas a cup of coffee: "Morning, Jonas." ”

"Morning, thank you for the coffee. Jonas took the coffee and said politely.

"Did you think about any inspiration?" Shen Qi deduced that Jonas had been studying for a doctorate for two and a half years, and had not published a single paper, and sat under the tree every day to think, this Swedish senior brother must be holding back some big move.

"There's no such thing as inspiration, it's just thinking. Jonas said.

"Oh. Shen Qi was also inconvenient to ask, he just vaguely felt that Jonas must have a doctoral topic, and people didn't want to say it.

"Actually, I just don't want to go back to Sweden so early. Jonas was a little melancholy.

"What are you running away from?" asked Shen Qi.

"I don't like that woman, I don't want to marry her. Jonas sighed.

Running away from marriage, it's so exciting, the Swedish brother is a man with a story.

Shen Qi asked tentatively: "So that woman's family has a very good background, and her family put pressure on your family to force you to marry her?"

"No, no one in Sweden can persecute my family. Jonas shook his head, looking very worried: "Yes, I am escaping, there are some things that I can't make public, I can only choose to escape, flee from Europe, flee to the United States, just like the scholars in Göttingen back then." Thank you Shen Qi, thank you for your coffee, thank you for your patience, and listen to me talk about these boring things. Would you like to go to the Tiger Hotel for a drink in the evening, I'm in for a treat. ”

"AA today, Jonas, you've asked me to drink twice, once against Bayern and once against Manchester United. Which team are you a fan of?" asked Shen Qi.

"It doesn't matter what the result is, it's just a reason to drink. Jonas said, "I'll see you that night, because it's my invitation." ”

Jonas is a very good person to deal with, he is polite, generous, eager to pay, and he has been in Princeton for 7 years and has not bothered to apply for scholarships, so you can imagine that he has a well-to-do family.

Shen Qi thinks that Jonas should be Sweden's rich second generation, he is tall and handsome, and he must be the kind of rich and handsome who is chased by girls in Sweden.

Shen Qi accepted Jonas's invitation, he didn't want to owe Jonas money for the drink, and he planned to pay for it by force tonight.

Fortunately, today is a rest day, there are no classes during the day, Shen Qi wrote a paper all day and ran into some trouble.

The trouble is how to prove a formula that contains the value of the zeta function at odd points: α^k(1/2ζ(1-2k)+Σn^2k-1/e^2nα-1)=(-β)^k(1/2ζ(1-2k)+Σn^2k-1/e^2nβ-1)......

Even Hardy, a real man who dared to fight against God, could not pass the Riemann hurdle.

Hardy's proof is useless in the face of RH, and while it is generally considered to be the best proof, the proof of the last term is full of holes when the positive number α and β satisfying Σ indicates that when k is an odd number of 2m-1.

This is Shen Qi's biggest problem at present, and his new proposal has been approved by Professor Müller, but in the process of defining the specific discourse, problems continue to arise.

Shen Qi obviously underestimated the difficulty of the ζ (2n+1) project and had a headache.

From this, we can see the metamorphosis of RH, and even the research project of RH has stalled the team of the Department of Mathematics of the University of Liberal Us.

Mary's situation was not much better, her skin had been poor lately, and the freckles on her face were noticeable.

Mary was also sad and annoyed, she was not even in the mood to put on makeup, and her husband was not in the United States, so no one comforted her.

Professor Muller's RH project encountered obstacles, so Shen Qi suspended the research of this topic and started his private work to adjust his mood and thinking.

Shen Qi redrafted this paper, which actually began in June last year, and has not been officially published until now. This paper was a gift that Shen Qi promised to give to Ouye.

There are losses and gains, the east is not bright, the west is bright.

When Shen Qi completed the proof of two sets of positive integer solutions (Xi,Yi)(i=1,2), Y2>Y1>1 did not satisfy ∣±√-1(xi-yi√-t/(xi+yi√-t)-X^1/4∣<1/8, he jumped up excitedly, and he wanted to shout to the world, I succeeded!

Shen Qi rushed downstairs and rushed to the familiar pine tree, he hugged Jonas, and shouted with a red face: "Jonas, I succeeded, I succeeded! I used the most concise method to completely prove Walsh's conjecture!"

Jonas sat under this pine tree all day, from the rising sun to the setting sun, and the squirrel was gone, and he was not gone.

"Oh, yes, congratulations, you've completed proof of the Walsh conjecture just over a month after you've been in Princeton, and it's remarkable. Jonas was happy for Shen Qi, and he still maintained a faint and elegant smile: "So don't get drunk tonight, my Chinese mathematician." ”