Chapter 420 Are all geniuses so willful?

After standing in front of the window for 5 minutes and taking a few breaths of fresh morning air, Xu Qingzhou sat down at the desk again and continued his calculations from last night.

"If f(z) is a polynomial and Z = α is its k-th zero, then f(z) is divisible by (za)^k"

After solving the Landau-Siegel zero problem, I felt as if everything had suddenly become clear. Although each step was difficult, for such a difficult problem that has troubled the mathematical community for more than 160 years, the progress can be described as lightning fast.

He even had a delusion.

Perhaps it won’t be long before this century-old problem can be solved.

Four hours passed quietly. At 2 p.m., Xu Qingzhou simply packed up his manuscripts and prepared to visit Professor Roberts.

Massachusetts Institute of Technology.

"Hi, good afternoon, Xu." Horn was still very enthusiastic. After not seeing him for a long time, this senior brother had regained the image he had when they first met. Not to mention, he looked a bit unrestrained despite his sloppy appearance.

"good afternoon."

Xu Qingzhou waved and greeted him, having given up on correcting Horn's pronunciation.

"Your current course has been listed as one of the most popular courses at MIT. Congratulations." Horn smiled and handed Xu Qingzhou a cup of coffee.

"Thank you. The coffee is delicious."

"As long as you like it."

"What interesting questions are there this time?" Professor Roberts stopped calculating.

Neither he nor Horn had high hopes for Xu Qingzhou's research on the Riemann hypothesis.

It's very simple, Xu Qingzhou discovered a new particle.

This is certainly something to be happy about.

But this shows that Xu Qingzhou's main focus in the past period of time was entirely on particle physics, which means that Xu Qingzhou himself had no confidence in continuing the Riemann hypothesis and turned to studying particles.

However, they all understood Xu Qingzhou.

Not to mention the Riemann hypothesis, even the Landau-Siegel zero point problem is quite difficult.

This time, Xu Qingzhou is very likely to return empty-handed.

"Before we discuss this, I think you will be more interested in this." Xu Qingzhou said, and sent the file in the mailbox to Professor Roberts.

"what?"

Xu Qingzhou took a sip of coffee and said with a smile: "The paper is the proof of the Landau-Siegel zero-point problem."

"."

There was an eerie silence in the office.

Professor Roberts was stunned, and Horn's hand that was drinking coffee also paused, looking at Xu Qingzhou in astonishment.

The news came a little suddenly.

Professor Roberts was the first to come back to his senses and immediately opened the email sent by Xu Qingzhou.

Horn also came over quickly. On the screen was a 101-page paper, "Inequality Real Number Sequences"

From the abstract and the previous review, we can already see many highlights.

Professor Roberts finished reading the abstract, his eyes full of amazement. He paused and said in a deep voice, "I need time to verify it. When do you plan to publish it?"

Xu Qingzhou drank his coffee. Although he knew that there were many places that could be simplified, he was absolutely confident in the correctness of the paper and said, "I'm quite busy now. This is still a first draft and I don't have time to sort it out."

The proof of the Landau-Siegel zero-point problem is about 101 pages long, and it will take at least 10 days to organize it all.

Rather than organizing the paper, he felt more interested in solving the Riemann hypothesis.

"."

Professor Roberts and Horn both fell silent.

Are all geniuses so willful?

This is a result that will shock the mathematical community.

The reason for delaying the release is not a logical problem, but simply because there is no time to organize it.

It sounds a bit absurd. "As far as I know, many mathematicians are currently conducting research on the Landau-Siegel zero-point conjecture. By the way, Mr. Zhang Yitang from your country is also conducting research in this area."

Professor Roberts reminded.

Horn also said: "Yes, yes, yes, Cambridge, Princeton, Berkeley, there are research groups working on this topic."

Xu Qingzhou thought about it, nodded, and said, "I will post the paper on arXiv first, and then revise it slowly later."

Although he cared more about the Riemann hypothesis, he would suffer a great loss if someone else discovered it first.

arXiv is a website for preprints. Many scientists submit their papers to this website first, and then to professional journals. It can be roughly regarded as reserving a spot to show others that you have already done this research.

Xu Qingzhou's current situation is suitable for this. He has no time to revise the paper, so he just submits the first draft first.

As for the issue of plagiarism by peers.

There is no need to worry about these well-known math problems.

For example, the Poincare conjecture.

Perelman's paper was posted on arXiv, while Cao and Zhu published it in a special issue of ASIAN J MATH. What was the result?

The former was praised to the sky, while the latter was thrown into hell and his entire clan was punished.

Xu Qingzhou brought up two complex function problems and planned to discuss them with Professor Roberts.

The residue theorem describes the properties of functions near isolated singular points, and then there is the Cauchy integral theorem used to analyze the properties of the Riemann zeta function in the complex plane.

Xu Qingzhou was in charge of the lecture and expressed his ideas. Professor Roberts and Horn listened patiently. In terms of zero point research, he was now really capable of being a teacher to these two.

At around four o'clock, we had another cup of coffee and the topic shifted from the Riemann zeta function to Professor Roberts's topic, large-scale matrix computing and its application in recommendation systems.

Discuss various matrix decomposition methods, such as singular value decomposition (SVD), non-negative matrix factorization (NMF), etc.

"I think we can give a definition here first: given a vector w, a set W, a mapping function M, and a relationship, solve a new mapping function M and generate a new vector through it."

"Yes! Xu, to be honest, I have begun to admire you a little." There was unrestrained admiration on Horn's face.

“I’ve studied it a little bit before.”

Xu Qingzhou said.

When he was involved in the design of the density matrix of the Micius quantum satellite at the Quantum Research Institute, he used parallel computing and distributed computing technologies to accelerate the computing process.

Later, when I helped Guo Ziyang build a model, I also used parallel computing.

So pretty familiar in that regard.

Xu Qingzhou stayed in the office for four hours. It was not until 4pm that the three of them noticed that it was getting late, and then they went to eat French food on Massachusetts Avenue.

After the meal, Professor Roberts and Horn pulled me aside to discuss the problem of sparse matrix processing.

Therefore, Xu Qingzhou did not return home until 9 o'clock in the evening. He did not even take a break, but cleaned the house inside and out to welcome the school beauty Song who was back from a week-long business trip.

After cleaning, he spent two hours putting the proof of the Landau-Siegel zero problem on arXiv.

As soon as I lay down on the bed, I heard a "ding" sound. It was a message from Song Yao.

Song Yao: "Teacher Xu, my breakfast sandwich is not as delicious as yours."

Xu Qingzhou opened the chat box and wanted to send a message to show off, but suddenly noticed the time.

1: in the morning.

Hiss, not good.

He quickly exited the chat.

But it's too late.

Song Yao: "Xu Qingzhou, you haven't slept yet (Cai Dao)!"

Xu Qingzhou sighed and typed: "I said I just woke up, do you believe it?"

Song Yao: "What do you think?"

(End of this chapter)

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