In Princeton, you have to sleep in addition to studying, and you also need to socialize when you wake up.

Food clubs are Princeton's main social organization, and clubs are often named after the bars or restaurants that members frequent.

The Tiger Inn is a bar on Princeton's campus and Princeton's most famous food club.

Bars are the most important social places in the United States, where people talk about business, feelings, and life ideals, and go to the bar to sit when they are happy, depressed, and have nothing to do.

In principle, only students who have spent two years in Princeton are eligible to join the "Tiger Hotel", and Shen Qi is obviously not eligible, but this is the third time he has come to the Tiger Hotel to drink.

Jonas spent seven years at Princeton, where he was the honorary president of the Tiger Inn, a food club organization, and one of the shareholders of the Tiger Inn.

Shen Qi had already heard of the title of Honorary Chairman of Jonas, and it was precisely because Jonas was the honorary chairman of the "Tiger Hotel" that Shen Qi was able to make an exception to join this club.

And Jonas owns a stake in the Tiger Inn, Shen Qi just learned about it.

"Jonas, it turns out that you are one of the owners of this bar, no wonder you didn't pay for the first two times you invited me to drink, just sign the bill and get it. Shen Qi suddenly realized.

"Two years ago, one of the shareholders returned to China, and I happened to have a little spare money, so I bought 60% of his shares. I loved the décor of the Tiger Lodge and the tequila here. Jonas picked up the glass full of tequila and drank it down.

"The salary that Professor Mueller paid you is not enough to buy 60% of the shares here, right?" asked Shen Qi.

"I used to have a house on the outskirts of Stockholm that I sold, so I had a bit of spare money. Jonas waved his hand at the bartender and pointed at Shen Qi again: "Nick, pour a glass of tequila for my math buddy, an outstanding mathematician from China." Just now, he proved Walsh's conjecture, which is worth celebrating. ”

"It's really great news, it's so exciting, this year's Fields Medal belongs to mathematicians from China!" "Bartender Nick is an American, and the Americans' expression is more exaggerated, and the husky of the neighbor's next door can make them excited for half a month after being discharged from the hospital.

"There is no Fields Medal this year, it will be the year after...... Hey, Nick, a small glass is fine!" Shen Qi placed a large glass of agave in front of him, this wine was very strong, and it was on the same level as vodka, which was higher than the degree of the second pot.

"Fun night, let's party, cheers, for the Walsh conjecture. Jonas raised his glass and smiled at Shen Qi, his green eyes were very charming and full of charm.

"I'm too strong to drink, so let's take a sip. Shen Qi also raised the glass.

"It's okay, whatever. Jonas finished drinking the tequila in his glass.

"Jonas, you can really drink!" Shen Qi had no choice but to kill a large glass of agave, not that he couldn't drink it, but he didn't want to drink too much spirits, and he would have to write a paper when he went back later.

Then Jonas and Shen Qi confronted each other, and at the end of the drink, Jonas drank too much and was unconscious.

"Nick, Jonas is up to you. Shen Qi said to the bartender and left the Tiger Hotel. Jonas is the big owner of the Tiger Lodge, and the bar staff will naturally take good care of Jonas.

Back in the apartment of the graduate residential college, Shen Qi was slightly drunk, this feeling was very strange, the door of a new world opened in consciousness, both hazy and real, and the mathematical inspiration poured out in a steady stream.

"In ancient times, there were 100 poems by Li Baidou wine, and now there is Lao Shen writing papers overnight!"

Shen Qi completed the final part of "Proof of the Walsh Conjecture of the Diophantine Equation", and he wrote down the names of the two authors:

Shen-Qi*，Ou-Ye*

The asterisk mark after the name means that Shen Qi and Ou Ye are the co-first authors of the paper.

The inspiration is not over, Professor Müller's ζ (2n+1) project has a new idea!

Shen Qiwen is very angry, he picked up a pencil and moved the pen on the scratch paper:

It is known when Re(s)=σ>1

Γ（s）ζ（s）=∫α^s-1/e^α-1dα

……

"I should have thought of it, I should have thought of it a long time ago! The most correct way to deal with it here is to do a Merlin transformation!"

Shen Qi slapped his head, both annoyed and excited.

I was annoyed because I wasted half a month in vain, entangled in Hardy's testimony.

Excited because failure is the mother of success!

Without experiencing the meaningless trap of the endless cycle of Hardy's proof, how can we see the vast sky of Merlin's transformation!

If one path doesn't work, try another one.

A lot of times, all you need is a little bit of inspiration, inspiration in the right direction!

Today, this wine was not drunk in vain.

No wonder Jonas often drinks and is inspired by drinking!

The higher the degree, the more inspiration, and the tequila at Tiger Lodge is close to 70 degrees.

"The world laughs at me for being crazy, hahaha........."

In a state of extreme excitement, Shen Qi skillfully used the Merlin transformation:

1/e^α-1=1/2πi∫Γ（s）ζ（s）α-1ds

……

After changing the α to 2nα and multiplying it by n^2k-1, the trouble that had plagued Shen Qi for half a month was completely solved.

Then the next thing to do is to prove a new lemma, which returns to Shen Qi's original assumption, and also proves that Shen Qi's previous judgment of the direction is correct.

The general direction judgment is as important as the specific details, and insight and logical deduction ability are the two mathematical talents that Shen Qi values the most.

"I ...... I'll sleep for a while......" Shen Qi found that this kind of strong drink of tequila has a lot of stamina, he was slightly drunk just now, and now it has escalated to medium drunk, he needs to rest for a while.

The alarm clock rang at 6 a.m. sharp, my head hurt a little, and my body still smelled of alcohol.

Shen Qi wrote a one-page essay to sober up, then washed, ran, had breakfast, and went to Spelman Hall for class.

If a person is not self-disciplined in the United States, depravity will ensue.

Shen Qi is strict with himself, he can drink wine, and he must get up on time the next day, what should he do.

Jonas slept until noon, and after applying his mask, he walked towards Luther Hall empty-handed.

This afternoon, there will be a semi-monthly academic meeting of Professor Müller's research team, and Jonas arrived at Müller's office ahead of schedule.

"Jonas, you pour your own coffee, I'll go out and make an important call. Professor Mueller left the office with his phone.

After a while, Mary arrived, looking extremely haggard and with obvious dark circles under her eyes.

"Mary, beauty is God's gift to a woman, please be kind to your beauty, you need sleep. "Jonas is a thirty-year-old man, his skin is better than that of women of the same age, and the man is thirty-one flowers.

"I can't sleep at all!" Mary poured herself a cup of black coffee, unsweetened and milked.

"Well, when I didn't say it. Jonas said indifferently.

"Jonas, help me look at pages 6 to 8, I'm a little hesitant to use Ramanujan's formula to deal with this identity?" Mary opened the folder, took out a few pages of paper paper, and placed it in front of Jonas.

"You've got a PhD in mathematics from the University of Bonn, and I haven't graduated yet. "Jonas was too lazy to read Mary's papers.