Chapter 212: After confirming the paper, it's you

Alan Müller taught at the University of Bonn in Germany before coming to the United States, and Marie-Schmidt was an undergraduate student of the University of Bonn's Department of Mathematics.

After graduating from the University of Bonn, Dr. Marie-Schulz-Schmidt moved to the Department of Mathematics at Princeton as a teaching assistant for Müller.

From undergraduate to doctoral student, Mary's surname changed.

She married a man named Schultz when she was a PhD, so her current name is Mary Schultz-Schmidt, and she wears a wedding ring on her finger.

"Dr. Schulz-Schmidt, your hair is dyed blonde?" Shen Qi asked tentatively.

"It was originally gold, but I dyed it red when I was doing my PhD in Germany. Schulz-Schmidt said.

The German female doctor's profile picture on the Internet is too powerful, she has a Cate Bletcht face, and she is forced to become Nicole Kidman, and she also has a halo effect.

"Your PhD dissertation is wonderful, I've read it many times, and the Evitzer proof of the Diophantine equation is a stroke of genius. Shen Qi couldn't confirm his eyes, so he could only confirm the paper.

"Thanks to your effective algebra approximation, Shen Qi. ”

Schulz-Schmidt smiled playfully: "On page 7 of my doctoral dissertation, I cited your algorithm. Strangely enough, however, you removed your paper from arVix shortly after, and it has not been officially published. After all we work as a team, you can call me Mary. ”

That's right!

I have confirmed the paper!

That's her!

It's you, a German woman, that I didn't fulfill my promise, and the paper I promised Ou Ye has not been published so far, but you are arrogant and beautiful!

"It's a pleasure to meet you, Mary, and your beauty makes other women in the world jealous. Shen Qi smiled and took the initiative to shake Mary's hand. Even if you are unhappy in your heart, you have to have grace on your face.

"Does that include your girlfriend?" Mary shook hands with Shen Qi, her temperament was mature, and her personality was different from that of Mueller and Jonas.

Shen Qi continued to smile: "My girlfriend is an angel. ”

"Huh. This is the end of Mary and Shen Qi's first exchange.

Jonas was drinking coffee boringly, seemingly not caring about the hidden knife and-for-tat between Shen Qi and Mary.

Mueller was very interested: "Mary, Shen Qi, do you know?"

"We've never met, but we're old friends. Shen Qi looked calm, and concisely told the past of the thesis between him and Mary.

According to the generation, Mary is Shen Qi's senior sister, but Shen Qi thinks that this German mature senior sister is not cute at all, she is aggressive.

"So there's a story between the two of you. "Without further ado, today's regular meeting is now open, Jonas, let's talk about your doctoral dissertation." ”

Jonas picked up his coffee cup and said calmly, "My doctoral dissertation will take a while to complete, yes, I'm thinking about it. ”

"You've been thinking about it for two and a half years without writing a word or publishing a single paper. Mueller only reminded, not urged.

"I need time, yes, I need time, math is a subject where the thought process is better than the end result. Jonas took a sip of his coffee and added some sugar when he felt a little bitter.

"Well, Jonas you're right, keep thinking. "Jonas is not in a hurry, and Müller is not in a hurry, and Professor Müller agrees with Jonas that thinking is an important thing. Mr. Andrew Wiles, who had taught at the University of Pulp, thought about it for ten years without publishing a single article until he proved Fermat's theorem.

Princeton's academic atmosphere is indeed tolerant, with a broad mind that accommodates Frankenstein, madmen, and even psychopaths.

In the Oscar-winning film "A Beautiful Mind", Russell Crowe successfully played the genius mathematician Nash.

Nash, who suffers from mental illness, whose true story takes place in Princeton, eventually won the Nobel Prize in Economics.

There are only three majors in the university: arts, science, and engineering, and business administration, law, and medicine, which are very popular in the United States, are not in the university's curriculum.

From its establishment in the 18th century to today, the University has never set up business, law, medicine and other disciplines that are very popular in the market.

This research university is based on the principle of academic research first, and the utilitarian aspects are rarely considered.

So Jonas can stay as long as he wants at the University and is not in a hurry.

"And Mary, what about you?" said Müller, asking Mary about the progress of her research project.

Mary flipped through the folder and handed Müller a written report very formally, not like Jonas verbally.

The rigor and procedural nature of Mary's personality can be seen in this detail, as she says: "My project is on schedule, and of course there are some minor troubles, and I should be able to make important progress before the Christmas holidays." ”

Mueller took a quick look at Mary's report, which was actually an unfinished mathematical paper: "Mary, you've been working hard for the past few months, but you don't seem to see anything new. IMHO, the current specifics of this paper, the evidence is obviously old-fashioned, and even a bit boring. More than 100 years have passed, and we must stimulate innovative thinking to solve the RH. ”

"Professor, you're right. Mary was a little depressed, but she didn't bow her proud head.

"RH?" Shen Qi, who was listening, was inexplicably excited, there are not many abbreviations for RH in the mathematical world, Mary is a researcher of number theory, and in the field of number theory, RH stands for Riemann conjecture.

Riemann-Hypothesis, one of the seven millennial puzzles of mathematics.

In 1858, Riemann, a professor at the University of Göttingen, proposed the famous Riemann conjecture in a paper on the distribution of prime numbers that was only 8 pages long.

A hundred or two hundred years have passed, and as Mill said, mathematicians have racked their brains, exhausted all the methods they should use, and RH has not yet been fully proven.

"Yes, as you understand, Shen Qi, RH is the Riemann conjecture. Mueller handed the manuscript of the paper in his hand to Shen Qi and said lightly: "This topic is difficult, but it is also full of fun. ”

Shen Qi took the paper and read the abstract and introduction first, he was extremely excited, Professor Mueller's team was launching a fierce offensive against RH!

The core of Riemann's hypothesis is the Riemann zeta function ζ(s)=Σn^-1(Re(s)>1), which is a powerful tool for solving number theory problems, and plays a pivotal role in analytic number theory, which has always been a hot topic in analytic number theory research.

It is well known that the distribution of prime numbers in natural numbers does not follow any rules, but Riemann observed that the distribution of prime numbers is closely related to the function ζ(s): all the complex zeros of the function ζ(s) are in the vertical straight line of σ=1/2.

If this guess is correct, then there is a pattern to the distribution of prime numbers, and many problems in number theory can be solved.