In the United States, the Institute for Advanced Study in Princeton, Mr. Gerd Faltings, the editor-in-chief of the Annals of Mathematics, is reading the Journal of the American Mathematical Society.

As editor-in-chief, Faltins does not have much scholasticism. The Journal of the American Mathematical Society is a strong competitor to the Annals of Mathematics, but this does not prevent him from reading the excellent papers in it.

Especially in this issue of "Journal of the American Mathematical Society", there is a very special paper, which is said to be as influential and profound as the one that occupies one-fifth of the current issue of "Annals of Mathematics", written by Xia Guo mathematics scholar Qin

Comparable to the paper "Fourth-Order Transformation Method of Green Lemon Number Theory" contributed by Ke.

What Faltings was reading at this time was this article titled "Proof that for all odd numbers k, there are infinitely many pairs of prime numbers (p, p

2k)》paper.

Wearing reading glasses and reading it carefully twice, Faltings shook his head and closed the journal in his hand with some disappointment.

"It's an exaggeration. Once Bowie is...too anxious."

Faltings could see that this paper was well written, and it was indeed a great academic achievement to overcome the weak Polignac conjecture, but the mathematical methods used in it were not outstanding.

It took nearly 40 pages to finally prove the weak Polignac conjecture by making micro-innovations based on the previous work and using a stupid method.

The only thing worthy of praise is the comprehensive use of the hypercircle method and the Haley asymptotic function.

Compared with Qin Ke's paper, which brought new and efficient mathematical processing methods to the mathematical world, Lyons Bowie's paper seems to be of greater significance, but its value is much lower. Most importantly, its impact

Not good...

Faltings sighed when he thought that many scholars might dive into another weak Polignac conjecture under the condition of "proving all even numbers K" because of this paper.

There is obviously no way out in that direction, and in the end, you will fall into self-contradiction due to paradox.

But unless you are a great expert in number theory like him, it is really difficult for others to discover this, and you will only waste your energy in the wrong direction.

Leonce Bowie is extremely famous in Eagle Country and is hailed as the future of number theory in Eagle Country. However, in order to compete for the Cole Prize, he published such a paper that is not mature and can easily lead other scholars into a dead end.

This is very irresponsible behavior.

However, the Kohl Prize is awarded by the American Mathematical Society. In this sensitive period just a few months before the award is given, it is quite meaningful for the "Journal of the American Mathematical Society" to publish such a paper.

"Stupid!" Faltings took a sip of coffee, feeling a little uncomfortable.

He knew that this might be because some Westerners did not want to see the Xia people win such a grand prize.

"As a person who is eager for quick success, so what if he can win the Kohl Prize? Can he really prove the Polignac conjecture? What positive effect can it have on the mathematics world? So what if Qin Ke is from Xia? Even a pure subject like mathematics cannot

Should awards be judged based on national boundaries and race?”

Even though he was already familiar with some unspoken rules, Faltings still got angrier and angrier the more he thought about it.

He admired Qin Ke from the bottom of his heart. The genius student who proved two world-class propositions in one go in the Tiger Bar left a deep impression on him. It was a heartfelt appreciation for truth and mathematics.

Love moved him even more.

At the academic lecture at Pudong University, Qin Ke proposed the "fourth-order transformation method of lime number theory", which once again optimized the spirit of tireless innovation and change in the twin prime number conjecture, which he also admired very much.

This is the spirit that a true mathematician should have!

What's more, Qin Ke has recently published excellent papers in the "Annals of Mathematics", which has added a lot of color to the "Annals of Mathematics". Because of the "Lime Mathematics Fourth-Order Transformation Method", the sales volume of this recent issue has increased significantly...

"For reasons and reasons, I would like to compete for Qin Ke for the Kohl Prize this time!"

Faltings is also a senior member of the American Mathematical Society, and as a top figure in the international number theory community, he has the qualifications and connections to influence the selection of the Kohl Prize, but he rarely exerts his influence.

Just when Faltings was thinking about these things, the phone in the office rang. It was the call from the editor-in-chief Andrew.

"Mr. Faltings, I have a submitted paper in my hand. I believe you will be very interested in it."

"Oh? Which direction?"

Andrew's voice was full of irrepressible excitement: "The direction of number theory, the proof of Polignac's conjecture! I have verified it repeatedly for two days and found no problems."

Faltings suddenly stood up from his office chair. If he could catch the eye of Editor-in-Chief Andrew, he would obviously not be one of those big-name products.

Faltings was still thinking about Polignac's conjecture just now, but he didn't expect that someone would prove it so soon, and he would also contribute to the "Annals of Mathematics". This will undoubtedly have a positive effect on improving the reputation and status of the "Annals of Mathematics"

function.

There are so many geniuses in mathematics!

Faltings tried to calm down: "Which professor has issued the certificate? Show it to me. I want to be the evaluator myself."

Andrew smiled and said: "It was co-authored by an acquaintance and his girlfriend. At the end of January, they submitted an article "Proof of Gilbraith Conjecture" to our journal."

Faltings was startled, then laughed: "Qin Ke and Ning Qingyun?"

"Yes."

"Bring it to me quickly!"

Faltings rarely reviews manuscripts in person anymore, but has such important mathematics been formally conquered? How could he miss it?

After getting the printed paper, Faltings put on his reading glasses and read the title line by line for three hours. Then he picked up a pen and started writing calculations on the paper.

After an unknown amount of time, he looked up from the pile of papers and felt a little sore all over his body.

It has been many years since I have tried to verify the ideas and proof process of a paper with such interest.

This is a truly excellent paper, with high-spirited and brand-new creativity revealed between the lines, innovations that make people shine, and a tight and rigorous proof of ideas!

Not to mention that this proof process contains a completely new way of thinking about mathematical processing!

Reading papers like this is simply a spiritual enjoyment!

"He is worthy of being the miracle boy of Xia Kingdom. He never disappoints people, but only brings surprises and shocks." Faltings chuckled and put down the paper in his hand, and then dialed Andrew's number:

"Arrange peer review as soon as possible and try to publish it in the journal issue at the end of May."

"May? I'm afraid that May will be too late. Such a major mathematical conjecture proof paper requires at least five number theory experts to review it, and these experts are very busy..."

Faltings said resolutely: "After you have drawn up the list of review experts, send me a copy and I will contact them one by one. The issue at the end of May must be published, otherwise by the end of July, the results of the selection of the Kohl Prize will have been finalized.

Already."

The Kohl Prize is awarded in early August, but the results are often voted for in advance in mid-to-late July. If Qin Ke’s extremely excellent paper is not published until the end of July, it will be difficult to rely on “lime number theory” alone.

"Fourth-Order Transformation Method" as well as proving the twin prime conjecture, Zhou's conjecture and other academic achievements, even if he comes forward to fight for it, he may not be sure to win the Kohl Prize.

But it's different with the academic results that prove the Polignac conjecture. This can completely surpass Once Bowen's achievement of proving the weak Polignac conjecture, even if the small number of Westerners think about it again.

To find fault is to be unreasonable and weak!

"Mr. Faltings, contact him personally?" Andrew was a little surprised. He didn't expect Faltings to support Qin Ke so much.

Faltings affirmed: "Yes. I will be responsible for urging."

Andrew also appreciated Qin Ke, who was talented, polite, and had a particularly amiable smile. He nodded and said, "I will make arrangements to ensure that this article between Qin Ke and Ning Qingyun can be published before the end of May."

The paper is published!”

…

Naturally, Qin Ke would not know what happened in the distant Institute for Advanced Study in Princeton. He and Ning Qingyun were preparing for the finals of the Qiu competition.

Normally, he probably wouldn't care too much. A mere Qiu Sai has not yet reached the level of importance he attaches to.

But this time it was Mr. Qiu who interviewed them personally. Qin Ke saw that this old man directly challenged him and Ning Qingyun with a world-class mathematical conjecture problem at the previous Chen Shengshen Mathematics Award report meeting.

Although Mr. Qiu, as a member of Qingmu University, should not embarrass the two of them, but logic is reasonable. Logically speaking, Mr. Qiu should avoid suspicion and cannot offer to interview them in person. But what is the reality?

Mathematicians all have weird tempers. The older and more advanced the mathematicians are, the weirder their tempers are. Mr. Qiu, a top figure known as "Qiu alone can defeat half of the mathematics department of Harvard University", is even more so.

He acts staunchly and dares to speak out and do what he says. In the past two years, Qingmu University's performance in the Qiu competition was very poor. Mr. Qiu publicly criticized the teachers by naming them, accusing the teachers of the mathematics department of not teaching students seriously and responsibly... which made the mathematics department very poor.

Can't get on stage.

This time Director Wei of the Department of Mathematics and even the school attached great importance to this Qiu competition and tried every possible means to ask Qin Ke and Ning Qingjun to participate. This was also the reason.

Qin Ke didn't want to be embarrassed on the spot by Mr. Qiu's question during the interview, especially Ning Qingyun, who was basically at a basic level in the three subjects he applied for: "Analysis and Differential Equations", "Geometry and Topology", and "Algebra and Number Theory"

It's comparable to a graduate student, but who knows what unpopular knowledge points Mr. Qiu will ask.

Therefore, Qin Ke took advantage of the system function of "Thinking Resonance" and took the time to complete the knowledge points of these three subjects for Ning Qingyun.

Previously, "Zhi Ning Qingjun II" took a tricky route, only focusing on the main line and ignoring the branches and leaves. Now we have to make up for the relatively important branches and leaves as much as possible.

Fortunately, in the past six months, Ning Qingyun has been studying with Professor Tian Jianlan seriously, and has also audited the sophomore and junior courses of mathematics majors, and has made up for a lot of missing knowledge points. Qin Ke is now just checking for omissions and filling in the remaining gaps.

Be more relaxed.

…

The finals of the Qiu competition were held for two days. A total of 108 candidates entered the finals to compete for multiple medals in individual events, individual all-around events and team events.

As mentioned before, the finals adopts an interview method, specifically a question and answer method. The judges ask questions and the candidates answer them immediately, but they can write on the blackboard.

The questions included all the subjects that the candidates applied for. There were three questions in each subject. A person like Qin Ke, who had entered the finals in all six subjects, had to answer 18 questions... Just thinking about it makes my lips go dry.

The exam time for the finals is determined by drawing lots. Because the judges are limited, it is impossible to interview several people at the same time.

Qin Ke and Ning Qingyun were lucky enough. One was ranked third in Group A, and the other was ranked fifth in Group B. They were both ranked high, and they would basically finish the exam on Saturday morning.

Time came to Saturday morning in a blink of an eye.

It was already mid-April, but Qingmu University on the outskirts of the capital was still experiencing a chilly spring.

Qin Ke picked up Ning Qingyun downstairs in the girls' dormitory, and then practiced the Oriental Secret Code together. They went to the cafeteria to have breakfast, and then took Ning Qingyun's hand and walked to the examination room of the Mathematics and Technology Center.
To be continued...