Reborn Technology Scholar

Chapter 406: Quasi-Riemann Hypothesis Report

The Riemann Hypothesis is so influential. From a purely mathematical perspective, the Riemann Hypothesis can be said to be the most difficult and influential mathematical conjecture among the world's seven major mathematical problems. It is also a popular research topic in the mathematics community.

Although the proof of the quasi-Riemann Hypothesis does not completely solve the Riemann Hypothesis, it allows the mathematical community to go directly from step 0 to step 99 on the Riemann Hypothesis. It is only the last step that can cap the mathematical building of the Riemann Hypothesis.

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From step 0 to step 99, this is a huge progress and leap, which is amazing enough. Once the quasi-Riemann Hypothesis is unanimously recognized by the mathematical community, there will immediately be six more than a thousand mathematical conjectures attached to the Riemann Hypothesis.

Hundreds of them were solved, turning conjectures into theorems.

Therefore, as soon as the proof paper of the quasi-Riemann Hypothesis was published, mathematicians at home and abroad ordered the paper one after another, studied the paper immediately, and refined the paper.

Just like Perelman's three papers proving the Poincaré conjecture, which troubled the world's mathematical community, it was difficult to demonstrate. It took three years to complete the demonstration work of the paper. Perelman's proof of Poincaré was recognized.

Rai guessed the same.

The paper on the quasi-Riemann Hypothesis was written by Perelman himself. It has the same natural style and is also difficult to understand. It caused mathematicians all over the world to rack their brains and burn countless cells during this period. In the end, there was no one.

Stand up and admit the proof of the quasi-Riemann Hypothesis.

So much so that during this period, Perelman was dubbed the public enemy of mathematicians around the world.

But fortunately, Perelman did not just throw out the paper like he did more than ten years ago, and then ignore it and dig holes without burying people. That is the real pain. At least now, about the quasi-Riemann hypothesis

To prove, an academic report meeting was held.

There are more than 500 mathematicians invited to participate this time, plus the mathematicians who heard about it, the number is at least 2,000.

Fortunately, Lecture Hall No. 1 on the Shahe Campus is large enough to accommodate everyone. It is more than enough to host such an academic lecture.

In fact, many students heard about it and came here, wanting to witness this academic event. Even undergraduates took the subway and took taxis to come to the Shahe campus. After all, academic events like this are rare.

"Qin, when I think about the fact that there are two to three thousand people attending this academic seminar, my heart is beating fast and I am extremely nervous. Otherwise, you should be the one to report at the seminar." Although it is still spring, the climate is pleasant and the temperature is high.

Moderate, but Perelman, a big man, was very nervous, his palms were sweating, and he kept wiping his forehead, as if his forehead was constantly sweating.

Qin Yuanqing was speechless. He said it well at the beginning, why did he want to change his mind now?

However, Qin Yuanqing felt that Perelman's social phobia must be corrected. The world's great mathematician stands at the pinnacle of human intelligence, surpassing 99.99% of the people in the world. There is nothing to be afraid of.

"Perelman, hold on, don't panic!" Qin Yuanqing patted Perelman on the shoulder and said with a smile: "Isn't there still me? You just go ahead and I'll hold the line for you. If you need me for anything,

If there is any supplement, I will supplement it as soon as possible!”

"Look at yesterday, wasn't it great that you received mathematicians from Russia?" Qin Yuanqing said with a smile.

Qin Yuanqing personally received world-class mathematicians such as Qiu Chengtong, Tao Zhexuan, Faltings, Wiles, and Deligne, while mathematicians from Russia were received by Perelman. Although these Russian mathematicians

The economy in 2000 was not very good, and now it is no longer comparable to the economic scale of Guangdong Province. However, Russia has always been a very important force in the world of mathematics and is a strong country in mathematics. If a Russian appears in the Fields Medal, then other people

Accident, this is very normal.

Although China is relatively unfamiliar with Russian mathematicians, in fact, Russia is rich in famous mathematicians, such as Kolmogorov, who founded the modern probability theory, and one of the pioneers of real variable function theory.

Rukin, such as Chebyshev who proved Beltran's formula, the theorem of the distribution of prime numbers in the natural number sequence, half of the law of large numbers and the central limit theorem, such as Markov, a representative of the Petersburg School of Mathematics, such as modern probability

One of the founders of theory, Xinchin, the founder of the Moscow School of Probability....

Russia is home to countless mathematicians. Of course, the most famous Russian mathematician of this era, with the highest academic status, was Perelman.

Since Perelman joined the Institute for Advanced Study, there has been a butterfly effect. More than ten famous Russian mathematicians have joined the Institute of Advanced Studies and taught at the Institute of Advanced Studies. This has also benefited from the mathematics expertise of the University.

Keep approaching Princeton University.

Beijing time, at 9:00 am sharp, the report meeting officially begins!

The auditorium, which was originally bustling with people, suddenly became silent.

Like a hundred birds flocking to the phoenix, pairs of eyes focused on the podium, focusing on the two figures who had just stepped onto the stage.

"I believe everyone has read the paper on the quasi-Riemann hypothesis during this period!" Qin Yuanqing glanced at the audience and said slowly: "The main purpose of this report meeting is to answer many questions about the quasi-Riemann hypothesis.

Some questions in the proof of Riemann Hypothesis."

"The schedule of this report meeting is as follows. There is a one-hour report in the morning, a one-hour question and answer session, and academic exchanges in the afternoon!" Qin Yuanqing talked about the process of the report meeting, and then said: "The next report will be given by Perelman.

Lord, I would like to add that I would like to invite Perelman to report on the paper."

On the other side, Perelman also walked to the blackboard closest to him. Unlike Qin Yuanqing who was accustomed to using ppt, Perelman was accustomed to using the traditional blackboard method. He raised his pen and wrote on it.

This is the first line of this report, and it is also the most core line of calculation.

"ζ(s)=2^s·π^(s-1)sin(πs2)Γ(1-s)ζ(1-s)..."

The moment this line of calculation appeared on the blackboard, everyone's eyes were focused on the blackboard, not on Qin Yuanqing.

Perelman was explaining as he wrote, and the calculations on the blackboard were like a string of flowing notes, dancing rhythmically under the sound of swishing brush strokes. This report conference, which focused the attention of thousands of people, was not

It was just a report to these people, and the media even broadcast it live. I don’t know how many people were watching.

Perelman seemed to have completely forgotten about the outside world and himself, writing down formulas one after another, without caring whether the people below could understand them!

Unknowingly, Perelman stopped the pen in his hand, took a deep breath, took two steps back, then turned around and said: "That's the basic situation. Let's move on to the question session."

At first, before he went on stage, Perelman was very nervous. But when he started writing calculations on the blackboard with the pen in his hand, all these nervousness disappeared. There was only the world of mathematics in his mind, and nothing more.

other.

After completing the report at this moment, Perelman was full of confidence. Although he did not study the field of number theory at the beginning, over the past year or so, Perelman had reached extremely high attainments in number theory.

After all, in front of him, there is one of the world's leading figures in mathematics who is leading the way. Sometimes when they communicate, they often give Perelman great inspiration and feelings. Under such circumstances, Perelman is not satisfied with the field of number theory.

It's not enough to make rapid progress.

"I have a question, it's the 6th formula in the 5th line on page 21 of the paper..." A young man sitting closer to the front raised his hand, and saw the manuscript he carried with him, which had words drawn with a ballpoint pen.

There are a few mathematical symbols that only he can understand. In fact, this question is just one of several questions he has written down.

Everyone looked at the questioner, who was the famous mathematician 'Schulz' from Germany. Now Schulz has been hailed as the successor of Faltings and the leader of the young generation of mathematics in Germany. This year Phil

A popular candidate for this award, it also enjoys a high reputation in the world.

Then everyone looked at Perelman and Qin Yuanqing on the stage.

In fact, during this period, everyone had some exchanges. The paper "On the Proof of the Quasi-Riemann Hypothesis" written by Perelman was too salty and difficult to understand, and there were even jumps in many places, so

Mathematicians who have relatively close contact with each other are constantly communicating, but even so, there are still many problems that cannot be solved.

As scholars, everyone knows that it is much easier to find a logical loophole than to set up an airtight network. And if you want to resolve it in a short report meeting,

Your question is actually very difficult.

When Wiles was proving Fermat's last theorem, it took him a full year to correct the loopholes in the proof and answer the reviewers' questions.

It is often easier to find loopholes than to solve them.

Just like destruction is often much easier than construction.

The papers written by Qin Yuanqing in the past were very logical and detailed, and could be understood by doctoral students, and even many graduate students could read them. Although the papers were relatively long, everyone liked this style, and it did not look good in comparison.

It will be difficult. Even if there are some things that I don't understand or understand, Qin Yuanqing's answers during the academic lectures are often unanimously recognized and warmly applauded by everyone.

But the current article about the "Proof of Quasi-Riemann Hypothesis" was written by Perelman and is full of Perelman's style. The width of the entire paper is less than one-third of that of Qin, Yuan and Qing, so naturally it is

It’s extremely brain-burning, and there are many things that everyone doesn’t understand. Naturally, everyone subconsciously thinks that there are loopholes or fundamental logical errors.

Now Schultz is just young and energetic and can't help but ask questions first, so everyone wants to see how Perelman answers.

Once the academic report meeting fails to answer some of the questions asked, it must be re-examined and answered after the report meeting, otherwise the mathematics community will not dare to admit the correctness of the paper.

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