I Just Want to Be a Quiet Top Student

Alan Muller taught at the University of Bonn in Germany before coming to the United States. At that time, Mary Schmidt was a student of Muller in the Department of Mathematics of the University of Bonn.

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

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

She married a man named Schulz when she was a PhD student, so she is now called Marie Schulz-Schmidt, and she wears a wedding ring on her finger.

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

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

The picture P of the German female doctor on the Internet is too powerful. She has a face of Kate Brecht, and she abruptly becomes Nicole Kidman for P, with a halo effect.

"Your doctoral dissertation is very wonderful. I have read it many times. The Eweitzer's proof of Diophantine equation is a stroke of genius." Shen Qi couldn't confirm the eyes, so he could only confirm the thesis.

"This is thanks to your efficient algebraic approximation, Shen Qi."

Schulz-Schmidt smiled playfully: "I quoted your algorithm on page 7 of my doctoral thesis. However, it is strange that you withdrew your thesis from arVix soon after, and it has not been published yet. See the official release. We will all work as a team in the future, and you can call me Mary."

That's right!

Confirmed papers!

That's her!

It's you, a German woman, who made me fail to fulfill my promise. I promised that Ouye's paper has not been published yet, but you are so arrogant and beautiful!

"Nice to meet you, Mary, your beauty makes other women in the world feel jealous." Shen Qi smiled and shook hands with Mary. Even if you are upset in your heart, you must have grace on your face.

"Does that include your girlfriend too?" Mary shook hands with Shen Qi, her temperament was mature, and her character was different from the sexual Muller and Jonas.

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

"Hehe." The first communication between Mary and Shen Qi ended here.

Jonas drank his coffee bored, seemingly unconcerned with the hidden smiles and tit-for-tat confrontation between Shen Qi and Mary.

Mu Le was very interested: "Mary, Shen Qi, do you know each other?"

"We've never met, but we're old friends." Shen Qi calmly described the past of the thesis between him and Mary.

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

"It turns out that there is still this story between you two." Mueller said, "Let's get down to business, today's regular meeting starts now, Jonas, let's talk about your doctoral thesis first."

Jonas picked up his coffee cup and said calmly: "My doctoral thesis will take some time to complete, yes, I'm thinking."

"You have been thinking about it for two and a half years, and you haven't written a word, and you haven't published a paper." Mueller just reminded, not urged.

"I need some time, yes, I need time, the subject of mathematics, the thinking process is better than the final result." Jonas took a sip of the coffee, felt a little bitter and added some sugar.

"Okay, Jonas, you are right, please continue to think." Jonas is not in a hurry, and Mueller is not in a hurry. Professor Mueller agrees with Jonas' point of view, thinking is a very important thing. Mr. Andrew Wiles, who once taught at Pudong University, thought about it for ten years and did not publish an article until Fermat's Last Theorem was proved by him.

The academic atmosphere of Princeton is indeed very tolerant, and Puda’s broad mind accommodates all kinds of Frankensteins, madmen, and even mentally ill patients.

Russell Crowe played the mathematician Nash in the Oscar-winning film "A Beautiful Mind."

Nash, who suffered from mental illness, his real story happened in Princeton, and he eventually won the Nobel Prize in Economics.

Universities only set up three majors: liberal arts, science, and engineering. Business administration, law, and medicine, which are very popular in the United States, are not included in the Universities’ disciplines.

From the establishment of the school in the 18th century to today, Puda has never set up subjects such as business, law, and medicine that are very popular in the market.

This research university adheres to the purpose of putting academic research first, and utilitarian aspects are rarely considered.

So Jonas can stay in Puda for as long as he wants, and there is no rush.

"So Mary, what about you?" Mueller turned to ask about the progress of Mary's research topic.

Mary opened the folder and handed Muller a written report very formally, unlike Jonas who laughed verbally.

From this detail, we can see the rigor and procedural nature of Mary's character. She said: "My project progress is implemented as planned, and of course I have encountered some minor troubles. Before the Christmas holiday, I should be able to make important progress."

Muller takes a quick look at Mary's paperwork, which is actually an unfinished math paper: "Mary, you've put in a lot of hard work these past few months, but you don't seem to see anything new. With all due respect, this The current specific discussion and proof of this paper are obviously old-fashioned and even a bit boring. More than a hundred years have passed, and the methods that should be used have been exhausted. We must stimulate innovative thinking modes to be able to crack RH."

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

"RH?" Shen Qi, who was listening, was inexplicably excited. There are not many RH abbreviations in the mathematics world. Mary studies number theory. In the field of number theory, RH stands for Riemann's conjecture.

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

In 1858, Riemann, a professor at the University of Göttingen, proposed the famous Riemann conjecture in an 8-page paper on the distribution of prime numbers.

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

"Yes, as you understand, Shen Qi, RH is Riemann's conjecture." Muller handed the manuscript 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 very excited. Professor Muller's team is launching a fierce offensive against RH!

The core of the Riemann hypothesis is the Riemann zeta function ζ(s)=Σn^-1 (Re(s)\u003e1), which is a powerful tool for solving number theory problems and plays a pivotal role in analytic number theory. A hot topic in analytical number theory research.

As we all know, 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 complex zeros of the function ζ(s) are in the vertical direction of σ=1/2 on the straight line.

If this guess is correct, then the distribution of prime numbers has a law to follow, and many problems in number theory will be solved.