Genius of the Rules-Style System

The Riemann Hypothesis is one of the most important mathematical conjectures in the world of mathematics. It is even more important than Goldbach's Hypothesis, but it is not as famous as Goldbach's Hypothesis.

Because the latter is easy to understand, as long as you have a certain mathematical foundation, you can think about it to a certain extent.

The Riemann Hypothesis is different.

It is very difficult for ordinary people to understand the Riemann Hypothesis, because it requires knowledge of complex functions. Obviously, the profound complex functions are too professional, and they are not professional mathematics majors, or the mathematics study is very sophisticated and they are not accessible at all.

However, the Riemann Hypothesis still has a certain popularity. Its popularity among the public largely stems from the propaganda at the turn of the two centuries.

The first time was in 1900, when the German mathematician Hilbert proposed the classic twenty-three mathematical problems at the International Congress of Mathematicians, which had a profound impact on later generations.

Among them, the eighth question is "Riemann's conjecture and other prime number problems, including Goldbach's conjecture and the twin prime conjecture."

These three conjectures are very difficult and have not been proven for a hundred years.

The second time was in 2000. The Clay Mathematics Institute proposed seven "Millennium Prize Problems", known as the "Seven Millennium Mathematics Problems", with a reward of one million US dollars for the solution of each problem.

Among them, the fourth question is the Riemann Hypothesis.

More than ten years have passed, and the Clay Mathematics Institute feels very embarrassed. They have not been able to issue a bonus, but this is not because there is no problem proven, but because the provers of the two problems have rejected their bonuses.

One is the prover of the "Poincaré Conjecture", the Russian mathematician Perelman. He was considered a lunatic and did not bother to accept the award.

The other one is Zhao Yi.

Zhao Yi solved the NP problem, but also rejected the Clay Institute's bonus. At first, he thought it was too troublesome to accept the award. Then he thought about it carefully, "Perelman didn't accept the bonus, why should I accept it?"

Of course, this is unacceptable.

The Clay Institute did not issue a bonus, which actually proves to a certain extent the difficulty of the seven Millennium Mathematics problems.

The Riemann Hypothesis is considered the most difficult and important conjecture.

The importance of many famous conjectures is mainly to inspire new ideas, and their own use is relatively small, such as Goldbach's conjecture, and the Riemann Hypothesis not only inspires new ideas, but is also very useful in itself.

Therefore, although the Riemann Hypothesis is listed in Hilbert's eighth problem along with Goldbach's Hypothesis and the Twin Prime Conjecture, its importance is still at a higher level than the other two conjectures.

Professional mathematicians are all very aware of the importance of the Riemann Hypothesis.

For example, someone once asked Hilbert, if he could return to the world five hundred years later, what question would he most want to ask?

Hilbert replied, "I want to ask, has anyone solved the Riemann Hypothesis?"

Now the Riemann Hypothesis has been proven.

Zhao Yi and Edward Witten shouted depressedly, "Why is there still the Riemann Hypothesis!"

"It was actually cracked by the way!"

"The Riemann Hypothesis is so unlovable, it actually wants to steal the limelight..."

"Why!"

The two of them sighed together.

Ruan Wenye stood at the door and listened for a long time, feeling like he was going to vomit. This was the first time he saw such people, and there were two of them at once.

In fact, Zhao Yi and Edward Witten were really depressed from the bottom of their hearts.

Edward Witten did not consider himself a mathematician because of string theory, but a pure theoretical physicist. He focused on the research of string theory and did not care about mathematical results.

Riemann Hypothesis?

Can he get another Fields? Can he still become the ‘top mathematician in history’?

Obviously not.

Edward Witten has long been one of the most famous scholars in the world. It can be said that his reputation cannot be higher. He is even considered to be one of the "top ten most influential scholars in the history of Country M" because of his research on string theory. His work has allowed a large number of top geniuses to continue to invest in the research of string theory, which is equivalent to guiding the direction of research and development for latecomers, especially elite mathematicians.

So, he doesn't really care.

Zhao Yi finds it troublesome. He has made too many achievements in mathematics, such as Goldbach's conjecture, Fermat's conjecture, three-dimensional tremor waveform diagram, etc. A series of achievements have long made him the "number one mathematician in the world". Adding a Riemann Hypothesis doesn't seem to be a big deal, it's just the icing on the cake.

Ruan Wenye couldn't understand this feeling, and it sounded depressing to his ears. He knocked on the door hard several times, took a deep breath and asked, "Really? Have you completed the Riemann Hypothesis?"

"right."

"should be."

"call……"

Ruan Wenye seemed to be more excited than Zhao Yi and Edward Witten. He rushed over to hug Zhao Yi and shouted, "Congratulations!"

He then hugged Edward Witten and said, "Congratulations!"

"Thanks!"

Edward Witten also smiled again on his face.

Although more attention is paid to work in string theory, the Riemann Hypothesis is after all one of the seven major problems of the millennium, and it is very important in the mathematical world. It is definitely a good thing to prove it.

Zhao Yi sighed and said with a smile, "It's surprising. In fact, we were doing research on quality points, but we ended up completing the Riemann Hypothesis."

"yes!"

Edward Witten finally realized that they had indeed completed the Riemann Hypothesis, which was incredible to think about.

If someone else had completed the Riemann Hypothesis, they would be so excited that it would be publicized all over the world.

Zhao Yi and Edward Witten were much calmer. They just talked to Ruan Wenye and others, and did not continue to promote anything, but began to patiently organize research materials.

This work is also very complicated, because there are too many drafts, and it needs to be sorted out slowly and patiently. Some places also need to be marked and explained to prevent any problems.

Fortunately, Zhao Yi's work efficiency is very high. When looking for written information, he immediately knows where it is and can quickly complete the proof process.

In the process of continuous sorting, they also discussed the publication together.

"The Riemann Hypothesis should be published, right? in the Annals of Mathematics? But there is too much content." Edward Witten said with some trouble.

It’s not that he is responsible for the proof process, but he is specifically sorting out the proof of the Riemann Hypothesis, which is also a very tedious task.

"Let's take it slow. We can make a report first." Zhao Yi said thoughtfully, "After finishing the report, record the main points and then publish it. I have a request. The Chinese version must be published in our country. Magazine."

"Of course, no problem, I'll listen to you." Edward Witten said, "Where is the report? Princeton?"

Zhao Yi shook his head and said, "I don't want to stay in Country M for the rest of my life."

"Pfft~~"

Edward Witten laughed after hearing this. He knew what Zhao Yi meant. He didn't know what Zhao Yi was researching in private. But relying solely on the public results, it was impossible for Country M to miss such a top genius, even if Use some illegal strong-arm tactics.

Country M has always done this.

"Otherwise, just stay here. I gave a report on Goldbach's conjecture (here). It's okay to add a Riemann hypothesis."

"Okay, it's up to you."

Edward Witten has no objection, because the research is still led by Zhao Yi. He knows that Zhao Yi has made more contributions than him. He is already very satisfied with the results of the mass point architecture. Where is the report on the Riemann Hypothesis? It doesn’t matter if you do it.

That day, Princeton called, and the head of the human resources department urged Edward Witten to go back. As soon as the call was connected, he heard the other person complaining, "Mr. Witten, I know you are doing research, but it takes too long. The school The courses have not been arranged, and the mathematics research group also has a lot of work, all of which need you to deal with..."

Edward Witten replied directly, "To hell with those courses. Now it's not just me here, there are many people coming, Bell, Brighton, all coming, and I just want to tell them."

"Why?" the person in charge exclaimed, "Mr. Witten, don't you plan to stay in China for a long time? What is the attraction there..."

"What the hell!"

Edward Witten said, "Although I hope to work with Zhao Yi, my family and my daughter are all in Los Angeles, and I don't speak Chinese. What on earth are you thinking? It's our result, our result! I We have completed the high-latitude topological structure of the mass point of string theory. Under the specifications of Riemann's hypothesis and Fermat's theorem, the topological form forms a perfect closed loop. It is really perfect..."

The person on the other side was stunned for a long time, obviously listening at a loss.

"Okay." Edward Witten said helplessly, "I might as well say this to a Labrador."

The person in charge on the opposite side was a little angry, "Mr. Witten, please pay attention to your wording, I will think you are insulting me!"

"terribly sorry."

Edward Witten said, "Let me give you a simple explanation. Zhao Yi and I completed the proof of the Riemann Hypothesis. Do you understand?"

"..."

The person on the other side continued to be silent, and then he suppressed a sentence, "I forgot what I just said. Okay, I will tell the news to others, Mr. Witten, when will you come back to make a report?"

"My first report will be at Yanhua University?"

"What?"

"I said, it's at Yanhua University!"

"...I heard you right, but, but..." The person in charge said 'but' for a long time, but in the end he couldn't say anything. He could only curse Edward Witten secretly for not trying to come to Princeton to give a report. Compared to Princeton, the palace of mathematics, where is Yanhua University?

All right!

There is the top mathematician there——Zhao Yi.

The person in charge of personnel thought about it carefully, but there was no good solution, because the research was completed by Zhao Yi and Edward Witten together, and under normal circumstances, Zhao Yi should be the leader, right?

Although he recognized Edward Witten's ability, only Zhao Yi could complete such top-level mathematical conjectures.

But, no matter what, it’s huge news!

After the person in charge of personnel put down the phone, he immediately shouted to the head of the mathematics department who came in, "Oh God! Big news!"

"Mr. Witten completed the proof of the Riemann Hypothesis!"

"Really? Himself? Impossible, right?"

"With Zhao Yi..."

"That's normal."

"Hula..."

The news that the Riemann Hypothesis was proved by Zhao Yi and Edward Witten spread at an extremely fast speed throughout Princeton, and then immediately spread to other areas. Even the media received the news and quickly prepared to go to the Chinese capital.

…

Neither Zhao Yi nor Edward Witten officially announced the news, but if one person knew such important news, it seemed that the whole world knew about it.

While the two were still sorting out the information, many people came to visit, including mathematics professors from Capital, Shuimu and other universities, including some famous mathematicians.

For example, Qiu Chengwen.

The last time Qiu Chengwen came here, he walked around and left because he didn't think the study of multi-dimensional space had any special significance.

Even if there are new results, they will be limited to the field of theoretical physics.

In recent years, Qiu Chengwen has focused on education work and is only interested in pure mathematics in research. But what he didn't expect was that Zhao Yi and Edward Witten actually completed the proof of the Riemann Hypothesis?

This is so irritating!

"Aren't they doing research on string theory? Why did they get involved in the Riemann Hypothesis?" Qiu Chengwen wanted to understand this problem, so he came directly to Zhao Yi.

Zhao Yi explained to him.

Qiu Chengwen understood it all at once, and couldn't help but sigh at the luck of Zhao Yi and Edward Witten, and he couldn't help but raise the corners of his mouth.

That's the Riemann Hypothesis!

For hundreds of years, countless mathematicians have tried hard to solve the problem without making any progress. In the hands of Zhao Yi and Edward Witten, it was just a by-product of string theory research?

Everyone else would be pissed off if they knew.

Anyway, Qiu Chengwen felt very uncomfortable knowing that it was just a 'side result'. Especially Zhao Yi and Edward Witten were very calm. They seemed to be more willing to talk about quality points, that is, the results of theoretical physics. He had a kind of curse. impulse.

"Bear it!"

Qiu Chengwen thought depressedly.

At the same time, the news slowly spread, and discussions began on the Internet. Someone said on Weibo, "I heard a breaking news today. Zhao Yi and Edward Witten collaborated to complete the Riemann Hypothesis. Proof!”

Weibo also comes with a link to an article about the Riemann Hypothesis and its significance.

Suddenly.

A large number of netizens participated in the discussion.

There are still many voices of doubt. Zhao Yi's proof of completing the Riemann Hypothesis is acceptable, but Yanhua University did not release the information, and no authoritative person came forward.

Many people went to leave messages under Zhao Yi's Weibo. His Weibo account is managed by Qian Hong, but they almost only look at it and rarely post any Weibo news.

Qian Hong told Zhao Yi the matter, "I don't know what happened, but it spread out!"

There was no need for Zhao Yi to hide it. He simply logged into his account and posted a Weibo post--

"This is true. We are collating the information together. The Chinese version will be published in the Journal of Mathematical Physics. Friends who are interested can read it."

Hula...

When the confirmed news became available, public opinion immediately became aroused.