Li Jiangao has always been a serious person.

It's okay if you don't do it, since you take the job, you have to do your best within your ability.

Therefore, during this time, Li Jiangao would often go to the institute to discuss the basic concepts and Qiao Ze's proof ideas with professors who study supercoiled algebra.

For professors and doctoral students working in research institutes, the biggest feeling is probably that this is okay?

……

"In fact, there is indeed a part of number theory research in Joe's algebra, because to construct a Joe's space, natural numbers are needed to do mapping, and the content of our research includes mathematical unity, so we are also doing proof work in this area.

For example, Joe's algebra argues that in any system of mathematics, there is a basic mapping function m(n), which maps the sequence of natural numbers {n} to a mathematical space with specific structural properties, which can reveal the basic relations and properties of the elements within the sequence.

Well, for each element in a set of natural numbers, m (n) not only maps its numerical value, but also reflects and distinguishes different mathematical properties. I think the first part of the proof process is an extension of this theorem. ”

……

For Director Li's consultation, the professors of the institute naturally knew everything and said everything.

Information that cannot be revealed is also a matter of request.

These previous research materials are indeed very useful for Li Jiangao.

Strictly speaking, to polish a paper, you only need to write the essay according to the format of the paper.

But Qiao Ze was his most proud student after all, and Li Jiangao knew Qiao Ze's faults very well, so he had to make the proof process of the thesis more understandable. The criterion is probably that he, a professor who knows a little about supercoiled algebra, can get a rough idea of the proof.

For example, the proof process of some precondition theorems must be added to the paper in Li Jiangao's view.

Because without this basic theorem, then both the spiral qualitative mapping theorem and the periodic theorem belong to the rootless source. Whether you are a reviewer or a reader, it will add a lot of trouble.

After all, supercoiled algebra and transcendental geometry have not yet been fully developed.

From this point of view, Li Jiangao, the paper editor, is undoubtedly qualified, and even did some things that only journal editors need to consider.

Obviously, Qiao Ze also understands Li Jiangao.

Knowing that the tutor is serious about his work, when editing the paper, he will inevitably take the initiative to understand these new mathematical ideas. In any case, for a professor who studies mathematics, as long as he is willing to delve into it, he will definitely gain something.

As for Xu Dajiang, he just thought that Li Jiangao could quickly complete the work.

After all, everyone's goals are different.

So Xu Dajiang basically maintained the rhythm of one phone call a day, asking Li Jiangao about the progress of paper editing, which was unbearable.

But Li Jiangao couldn't say anything, after all, Xu Dajiang was not selfish, and even whether the paper was published or not had little to do with him, the dean. There is also a degree of honor, and what can be rubbed has already been basically full.

But then again, Li Jiangao is very embarrassed.

People gave all the ideas in half a day, but it took too long for him to polish, which is really unreasonable. I can only get tired for a while.

Fortunately, the other professors in the institute are not so strict about commuting hours, and there are people working overtime every night.

And for Qiao Ze's idea of proving Gechai, everyone is two hundred percent enthusiastic.

In this way, half a month later, after Li Jiangao's expansion, a complete paper of 137 pages was finally released.

It's already very efficient.

Many of the precondition theorems directly used the previous proof process of the institute, and it took nearly a week to sort out the entire context just by sorting out Qiao Ze's previous proof manuscript.

It can be seen that being Qiao Ze's assistant is not so simple.

However, the completion is only in Chinese, and it is a big project to translate it into English.

In view of the progress of supercoiled algebra, many proprietary mathematical concepts have not yet been translated uniformly, and it is still very difficult to translate them into a perfect English version.

However......

"The translation work will be handed over directly to Doudou, don't bother."

"Can Doudou do it independently?"

"It's been a long time ago, that is, if the nouns are not included in the professional dictionary, Doudou is literally translated in Chinese pinyin, and when we communicate with other research institutes, we basically use this way."

Li Jiangao hadn't paid much attention to the research work of supercoil algebra and transcendental geometry before, and he really didn't know about this, which was a bit strange.

"Pinyin literal translation? Is this really possible? ”

"Hehe, Li Suo, you haven't read the official website of the Institute for Advanced Study in Princeton for a long time, right? Didn't they also open up a column on Joe's algebraic geometry? There is an introduction to the Chinese-English version. They are now accustomed to the literal translation of pinyin, and there is a special page for noun explanation, and it is estimated that the next edition of the professional mathematics dictionary will directly include these pinyin. ”

Li Jiangao was stunned, and then let out a long breath.

No wonder Dean Xu is always in a hurry, he is still too closed to the news, and he doesn't even know that there is such a change in the most cutting-edge mathematical research.

This alone Qiao Ze is already invincible.

This is something that many mathematicians in China have not been able to do.

Li Jiangao also decided to listen to everyone's suggestions, and directly copied the completed 137-page paper directly into Doudou's database, and then directly converted it into Chinese and English.

Doudou was originally designed to be an artificial intelligence software to assist research, and the background of the research institute has always been able to call the database of a certain part of Doudou's functions. Text translation is one of the most basic functions.

At present, Doudou can translate the world's top ten languages, and a 137-page paper is translated from Chinese to English in only about half a minute. After being translated into English, the 137-page essay was also expanded to 151 pages.

The format of the paper, the grammar of the wording, is basically impossible to pick.

At least Li Jiangao sat there and watched for three hours and didn't find anything wrong.

Except for those specially marked Chinese pinyin, I feel a little unaccustomed to it, Li Jiangao really can't find anything wrong.

That weirdness is mainly due to the involuntary brain making up for the pictures of those mathematicians suddenly mixing up a few Chinese pronunciations in English when communicating with foreign mathematicians in the future.

There's a sense of ABC's déjà vu.

Aside from this feeling, the quality of the translation is almost impeccable.

Technology changes scientific research.

If the quality and efficiency of Chinese-to-English translation can be achieved, then the English-to-Chinese translation will naturally be similar.

In the future, all kinds of papers and English manuals can be directly downloaded electronically, and then entered into the database, and even simultaneous interpretation can rely on this technology. This is probably a blessing for many researchers who do not have outstanding language skills.

Although he was very emotional, Li Jiangao still carefully read the paper translated by Doudou as a whole.

The general feeling is that the description of the weighting factor in the second half is more abstract, to be honest, he is really just polishing this part, and the specific proof process is not only that he did not understand too much, but also that many professors in the institute did not understand too much.

The definition of the function w(n) is complex, needs to be discriminated, and the method chosen is not very intuitive. Even with the help of graphical interpretation, everyone is half-understood, but if the calculus verification is substituted, it can be proved that the function w(n) is valid.

The institute even used Josser's weighting function and calculated a new Mersenne prime in a very short time with the help of supercomputing: 2^90,000,301 -1.

More interestingly, because Joser's proof of the weighted function w(n) has not been recognized by the academic community, so it cannot be used in calculus, so now to verify whether this number is indeed a Mersenne prime, supercomputing takes longer to verify.

Because it is impossible to waste too many computing resources to verify this Mersenne prime, it only takes two days to calculate this number with the same computing power, but it takes at least two to three weeks to verify the results.

After all, there are more than 27 million of them.

The corresponding complete number is even larger, according to the formula, we can get 2^90,000,300x(2^90,000,301 -1)

Such a large number can be used for mathematical research.

If the final verification figures are correct, for the research institute, it is impossible to say that there will be a time difference and a wave of wool.

There is a GIMPS project abroad, which mainly contributes computing power to find Mersenne primes. Finding a new prime number will reward you with $3,000, but whoever finds the first Merson prime to break 100 million will get a $150,000 reward, and a billion number will have a $250,000 reward.

Qiao Ze naturally didn't care about this money.

However, for other professors and researchers at the Institute of Mathematics, if this weighting formula can really be used, it is not too difficult to quickly find the numbers of 100 million and 1 billion. As long as you find the number first, and then report it, it is still very cool to get this bonus when it is verified.

You must know that the bonus given by this kind of international scientific research contribution does not need to pay individual income tax in Huaxia, more than 400,000 US dollars, according to the current exchange rate, it is 2 or 3 million yuan, even if the audience has a share directly according to the capitation, everyone can get more than 200,000 yuan, catch up with the salary of the first half of the year plus various subsidies.

Before you win any academic awards such as the Fields Medal, the Gauss Medal, the Chern Prize, etc., it is always a good idea to make more money to improve your life.

It can be seen that in the matter of making money, professors are also very creative, and the information channels are also very smooth, as long as there are resources, they can always find a suitable way to monetize knowledge.

Of course, Li Jiangao will not have any opinions on this. As for Qiao Ze, he didn't bother to bother with such a trivial matter at all.

After handing over the paper to Li Jiangao, he began to continue to solve a series of problems.

It's obviously not enough to rest your brain for a day.

Joser turned his attention to other propositions, such as the Riemann conjecture, which was also one of the seven mathematical problems of the millennium.

It's also about prime numbers, but it's really more difficult to prove than Goldbach's conjecture.

After a week of thinking, he solved the mapping of the supercoiled structure to the zero point of the ζ function. However, supercoiled algebra is embodied in the complex plane, which is a special nonlinear dynamic property, and it is extremely difficult to use this property to prove the zero distribution of ζ functions.

In particular, it is very difficult to identify and deal with possible singularities in supercoiled algebra, as well as to perform effective analytic extensions to ζ functions. Even though supercoiled algebra can provide extremely advanced numerical methods, it is still extremely difficult to express them with sufficient precision.

To solve this problem purely within the framework of supercoiled algebra, Qiao Ze found it very difficult.

New tools may need to be developed to explain this important conjecture. For example, it is possible to solve this problem once and for all by establishing a unified framework that links related mathematical objects such as supercoiled algebra, Riemannian ζ functions, self-defending forms, and elliptic curves.

But here's the problem, Qiao Ze doesn't think he's good at number theory, and solving Ge Guess is just to rest his brain. So after just doing some preliminary work, Qiao Ze gave up.

There's no need for that.

The main reason is that he is not short of the Clay Institute's million dollars, and the Clay Institute's efficiency is still very low, and it has not yet fully confirmed that the problem of the mass gap assumption of the root of the Yang-Mills equation has been solved and a bonus has been issued.

Well, it actually seems like a long time, but it has been less than half a year since Qiao Ze solved the above problems, which is actually still within the normal time frame.

The Clay Institute is not the same thing, and before the prize is issued, it must first let its own researchers understand and approve it.

That is, when Qiao Ze felt that his state had recovered, Li Jiangao sent him the polished Chinese and English double edition papers.

Qiao Ze didn't take the time to read it, he directly glanced at the abstract, hung Li Jiangao's name in the author column, and then asked Doudou to use the submission system of "New Discoveries in Mathematics and Physics", and directly submitted it to Li Jiangao's mailbox.

The editor-in-chief of "New Discoveries in Mathematics and Physics" is also concurrently served by Li Jiangao for the time being.

Generally speaking, it is not very appropriate for a journal to be edited by a student's supervisor, but Joser is clearly in a special situation.

He doesn't need the name of his mentor to help him pass the thesis, nor does he need the paper to raise the value of the paper, to evaluate any professors and the like, he hasn't won any science awards, purely because the award time has not yet arrived.

The most important thing is that "New Discoveries in Mathematics and Physics" is a journal cooperated by the Xilin Institute of Mathematics and the Academy of Sciences, and it is still waiting to be famous, and this kind of fertilizer water naturally cannot flow into the fields of outsiders.

After Li Jiangao saw the submission sent by Qiao Ze, he also officially checked it, first deleted his name in the author column, and began to find a reviewer for Qiao Ze in the address book.

Xu Dajiang did tell him a lot, but Li Jiangao felt that he still had to stick to his heart.

He can't ask for this kind of paper signature, and he doesn't need it.

And Xu Dajiang only hopes that the paper will be published quickly, and it doesn't matter if he has his name or not. It is enough to have the names of Xilin Institute of Mathematics and School of Mathematics of Xilin University of Technology in the author's affiliation.

As for Qiao Ze's kindness, he understands it, and he can't afford this second work.

The selection of reviewers is also a technical task, and the research on Goldbach's conjecture in this era spans many fields of mathematical research, including number theory, algorithm theory, and computational mathematics, and is widely distributed in various universities and research institutes.

But for this paper, Li Jiangao first contacted the Institute for Advanced Study in Princeton.

The reason is also simple, Qiao Ze mainly used the idea of supercoiled algebra to solve Cochai, although there is no center dedicated to Cochai, but in the West, the Institute for Advanced Study in Princeton is the center for studying supercoiled algebra.

Li Jiangao's idea is to find three reviewers in China and three reviewers abroad.

The work is also very well done, and it is really an honor for the current mathematical community to be able to review Qiao Ze's paper.

Yes, for Qiao Ze's paper, Li Jiangao did not plan to engage in double-blind review from the beginning.

There's no need to do that kind of thing to cover your ears and steal the bell.

The characteristics of Qiao Ze's paper are outstanding, especially the use of a series of mathematical tools derived from supercoil algebra, which anyone knows at a glance to be Qiao Ze's paper.

Li Jiangao can be sure that there is absolutely no other person in the world who has as deep an understanding of supercoil algebra and transcendental geometry as Qiao Ze.

This is not only his judgment, but also the judgment of everyone in the institute.

At least from the analysis of a series of theorem proofs given by the Institute for Advanced Study in Princeton on supercoiled algebra and transcendental unions.

Soon, the independent paper bearing Jozer's name spread all over the world.

……

Institute for Advanced Study, Princeton, USA.

The French mathematician Antoine Lefèff was flipping through a thick stack of papers that had just been printed, the thick sheets of paper still hot.

Choosing him as a reviewer for his paper, the mathematician made outstanding contributions to the direction of proving the weak Goldbach conjecture, such as the process of proving that any odd number greater than 7 can be expressed as the sum of three odd primes, using important theorems from his previous paper.

At the same time, Antoine has also been working on supercoiled algebra during this time.

Much of the growing supercoiled algebra question bank at the Institute for Advanced Study in Princeton came from his ideas.

Truth be told, such reviewers are hard to find.

There are really not many theoretical mathematicians in the world who have studied two propositions, although there are eight billion people on the earth, such people can count them with two hands, and may not even use so many fingers.

No way, the threshold for studying number theory is too high.

is not only the threshold of IQ talent, but also the threshold of family background.

If your family doesn't have enough money to pay for the high tuition fees when you are studying, there is no point in studying number theory, so you might as well study applied mathematics and get a high salary.

IQ, talent and interest also add a lot of net worth, any of which can discourage at least 90% of people, and the three standards must be met, so you can imagine how many people can be eliminated.

A rich second generation doesn't like to live a life of spending time and drinking, and if he doesn't inherit hundreds of millions of family fortunes, he must fight with a bunch of numbers, which is basically impossible without the support of extreme interest.

After all, learning has always been an anti-human thing, and mathematics is up to it.

Ordinary people will think that this kind of person is sick.

Antoine Lefeff was clearly one such patient, and he was not mildly ill.

Faced with this obscure paper, he not only read it with relish, but also obviously substituted it, and even picked up a pen and began to make annotations on the paper.

The expression on his face was even richer, sometimes frowning and contemplative, sometimes suddenly realizing, as if he had fallen into an evil spirit.