I really just want to be a scholar

Chapter 454 Weak Polignac Conjecture?this is meaningless

The dinner table suddenly became quiet. Seeing Wei Yuanfu's serious expression, Ning Qingyun subconsciously held Qin Ke's hand nervously.

Qin Ke smiled and shook Ning Qingyun's little hand back, signaling her to be at ease.

The girl's hands are small and soft, as smooth as mutton fat white jade, and feel particularly good.

Holding Ning Qingyun's little hand, Qin Ke felt confident, and said to Wei Yuanfu, "Director Wei, don't play charades, let me have some good news first."

Wei Yuanfu smiled wryly and said: "It's not that I want to play charades. In fact, it's a bit difficult to talk about. Just now, a friend of mine in the mathematics field from the United States called. He works in the American Mathematical Society and has relatively good information. He said just now that we The school's students named 'Qin Ke' and 'Ning Qingyun' were invited to the 'Science Breakthrough Award' academic conference, and this is naturally the two of you. By the way, have you heard of the 'Science Breakthrough Award'?"

Ning Qingjun shook his head, but Qin Ke was somewhat impressed: "Is it the so-called 'world's highest science award'?"

The little chubby Jiang Zhenjie next to him couldn't help asking when he heard "the highest bonus": "What is the highest bonus?"

Ximenhui was well-informed and answered Qin Ke directly: "300 million, it's US dollars."

Jiang Zhenjie took a deep breath. His family had some money in the tea business, but the amount of 300 million US dollars still made him speechless. This huge sum of money can almost buy a good three-bedroom, two-bedroom apartment in a top big city like Shencheng. hall house.

Qin Ke saw that Ning Qingyun was also surprised, and explained: "This 'Science Breakthrough Award' is a scientific award initiated by the founders of top world technology companies such as Google, Facebook, and Penguin, to honor scholars and scientific research. Outstanding achievements made by personnel in the field of scientific and technological innovation. If I remember correctly, it should be divided into "Breakthrough Awards in Life Sciences", "Breakthrough Awards in Fundamental Physics" and "Breakthrough Awards in Mathematics", as well as the "New Horizons Award" for young scientists '."

Wei Yuanfu nodded and said: "If you know, I won't explain anymore. You have been invited to give three 10-minute reports at the 'Mathematics Report Meeting'. The theme is 'Fourth Order Transformation Method of Lime Number Theory'. Send it to the school, and we will forward it to you when we receive it. You have received the invitation letter, which should be included in the list of candidates, but it is hard to say whether it is the "Mathematics Breakthrough Award" or the "Mathematics New Horizons Award". The winners of this award will be announced at the end.”

Jiang Zhenjie couldn't help but enviously said: "Is this good news for Brother Ke and the school committee?"

In front of Director Wei, he didn't dare to call Ning Qingyun "sister-in-law" again, so he called the "school committee" commonly used by his classmates.

"This is good news. Another not-so-good news is...Qin Ke, your Cole Prize may be a little hanging." Wei Yuanfu sighed: "Tomorrow's "Journal of the American Mathematical Society" will Published a paper by Lyons Bowie, the youngest professor of mathematics from the University of Cambridge in England, titled..."

Wei Yuanfu paused, and then said: "Prove that for all odd numbers k, there are infinitely many pairs of prime numbers (p, p + 2k)."

Jiang Zhenjie changed his face and said: "This proves that under the condition of odd numbers, the Polignac conjecture is true?"

Wei Yuanfu sighed: "Yes, this paper can be published in the "Journal of the American Mathematical Society", the content should be no problem, that is to say, the 'weak Polygnac conjecture' has been overcome."

The Polignac conjecture exceeds the twin prime conjecture in terms of significance and difficulty. Even the "weakened version" of the Polignac conjecture is still more important than the twin prime conjecture.

Qin Ke and Ning Qingyun are working on the "Polygnac Conjecture" project, and everyone present knows that now that the "Weak Polygnac Conjecture" has been proven, the impact is not trivial. If they don't hurry up, it may lead to This subject was conquered in advance, and all the work of the two of them was in vain.

For Qin Ke, the impact was greater.

Originally, Qin Ke was very likely to win this year's Cole Prize in Number Theory, the highest international mathematics award in the field of number theory, for his proof of the twin prime number conjecture, but now that Lyons Bowie's new paper is published, he is immediately overwhelmed. With Qin Ke in the limelight, the ownership of the Cole Prize in Number Theory became confusing.

Seeing that the atmosphere seemed dull, Ximen Hui hurriedly said, "Director Wei, who is this Lyons Bowie? Why doesn't he seem to have heard of his name?"

Wei Yuanfu explained: "China has always only paid attention to some internationally renowned mathematicians who are older and more famous, and paid less attention to the younger generation. In fact, Lyons Bowie is very extraordinary. He has a great reputation in the world. He published a research paper on prime numbers in the top international journal "Acta Mathematics" when he was a junior undergraduate, and was praised by "Andrew Wiles" as "the rising star in the field of number theory in Eagle Country". "

Andrew Wiles, who proved Fermat's last theorem, was present at the Philippine Awards. Jiang Zhenjie was stunned again, and the sentence that came to his mouth, "Publishing papers in international mathematics journals in junior years, compared to Ke Ge Weak burst" and swallowed back.

Wei Yuanfu continued: "Later, he went to MIT in the United States to study for a doctorate. During this period, he received a scholarship from the Sloan Foundation in the United States and the Danzik Award. After obtaining the PhD, he returned to the UK and taught at Cambridge University. He He is only 27 years old this year, and he is already a full professor. He is also the youngest full professor in the Department of Mathematics of Cambridge University. I heard that he is likely to win the oldest and most influential mathematics award "Adams Prize" of Cambridge University this year. By the way, He was also invited to this 'Science Breakthrough Award' academic conference."

Even though they were used to seeing Qin Ke's "Super God", Jiang Zhenjie and Ximen Hui were speechless when they heard the resume of Lyons Bowie who seemed to be open.

No wonder Wei Yuanfu said it was bad news. Such a terrifying mathematical genius with the weapon to prove the "Weak Polignac Conjecture" is indeed qualified to compete with Qin Ke for this year's Cole Prize in Number Theory!
Qin Ke also felt a little sighed. He had read Professor Tao Zhexuan's profile before, and wondered if the other party was also interested. Now that he heard about Lyons Bowie, he also had the same association.

But... It turned out that it was just weak Polignac's conjecture, and Qin Ke immediately let go of his suspended heart, and let it go completely.

Not enough to worry about.

Some people may think that if it is proved under odd-numbered conditions, and then proved to be true under even-numbered conditions, the addition of the "two weak" means that the Polignac conjecture has been proved?
On the surface, it does make sense, just like Qin Ke and Ning Qingyun used this method to prove Zhou’s conjecture at first, respectively proving that Zhou’s conjecture is true under the assumption that K is an odd number and an even number, and then concluded that under the condition of natural numbers Zhou's conjecture was established, thus turning Zhou's conjecture into Zhou's theorem.

But this is only taken for granted by those who don't really understand Polignac's conjecture in depth.

Qin Ke also tried a similar method at the beginning, but later found that this direction did not work at all. The difficulty of proving odd-numbered conditions and even-numbered conditions is not the same, and it is easy to fall into a situation of self-contradiction.

Just like the weak Goldbach's conjecture that "any odd number greater than 7 can be expressed as the sum of three odd prime numbers" was proved more than ten years ago, but almost all people who continue to study in this direction have entered dead end.

Moreover, the biggest problem with this method of proving the establishment of odd and even numbers separately is that it will cut off a complete mathematical method.

The greatest significance of the proof of a conjecture is not only to solve a difficult problem, but to provide a powerful mathematical method to provide a powerful tool for solving similar problems or problems in a certain direction.

Qin Ke dares to assert that if Lyons Bowie continues to study in the direction of proving the validity of the Polignac conjecture under even-number conditions, even if it takes ten years, there will be no results.

Seeing that Qin Ke didn't speak, Wei Yuanfu thought Qin Ke was a little sad and anxious, so he comforted him: "You may not have a chance for the Cole Prize in Number Theory, after all, Lyons Bowie only proved the 'weak Polignac conjecture'." ', but you proved the 'Twin Primes Conjecture', 'there are infinitely many Mersenne primes', 'the Fibonacci sequence has infinite primes', the combined weight of the three always exceeds the 'weak Polignac conjecture' 'Yes, not to mention that you have proved other mathematical conjectures such as 'Zhou's conjecture'. The school will also try to mobilize various relationships to help you fight for it..."

Qin Ke smiled and squeezed Ning Qingyun's little hand tightly. The girl was smiling at him with her lips pursed.As a member of Qin Ke's research group, she certainly knew that Lyons Bowie's proof was in the wrong direction.

"Thank you Director Wei, but don't comfort me, this so-called 'weak Polignac conjecture' is meaningless."

Wei Yuanfu was stunned, Jiang Zhenjie was stunned, and Ximen Hui was also stunned.

Qin Ke felt that it was too troublesome to explain, and he was afraid that the director of Wei would report to the school leaders about Lyons Bowie after returning to school, which would cause a lot of fuss, so he said directly: "If you are interested, I will It can be written in two hours, and then you can compare it with the paper that will be released tomorrow to see if the argumentation process is similar.”

Wei Yuanfu couldn't believe his ears, he stood up with a crash, and asked pleasantly, "You mean, you can also prove this weak Polignac conjecture?"

"Yes, but it's really meaningless. If there are no accidents, my subject will be finished in about ten days."

"Conclusion? You mean to prove...to prove the Polignac conjecture? Is it a strong conjecture, not a weak conjecture?" The surprise came too fast and suddenly, and Wei Yuanfu felt that he couldn't keep up with the student's thinking. , It is actually determined repeatedly like a repeater.

Qin Ke nodded, and said calmly: "Give me and Qingyun another ten days, and the final paper will be published by then."

There was silence in the private room, and after a while, there was a soft crackling sound.

This is the chopsticks in Jiang Zhenjie's hand fell to the ground.

……

After dinner, everyone dispersed.

In Qiu Saili, Ximenhui only reported for the "Analysis and Partial Differential Equations" in the morning, which was the end of the journey, and went back to school directly after dinner.

Jiang Zhenjie enrolled in "Probability and Statistics" more than her, and he has an exam in the afternoon, but he has the habit of taking a nap. He planned to go back to the dormitory and take half an hour before taking the Yanda exam, so he took Wei Yuanfu's car with Ximenhui Back to Kiyoki University.

Before leaving, Jiang Zhenjie was still muttering thoughts like "Brother Ke is worthy of being Brother Ke, the bull is going to heaven".

Ning Qingyun did not go with them.

She doesn't have to take the exam in the afternoon, but she still has a subject called "Geometry and Topology" in the evening. She plans to find a study room in Yanda for self-study in the afternoon, so that she can have dinner with Qin Ke.

Qin Ke naturally walked side by side with her and sent her to the study room.

Ning Qingyun walked briskly, her pretty face flushed with pride.

"Qin Xiaoke, I'm a little happy."

Qin Ke smiled and said, "Do you feel a little complacent when you find out that the so-called British genius professor has walked into a dead end we have avoided without knowing it?"

"There is a little reason for this. The main reason is that you are more powerful. And I think that Lyons Bowie was also pushed into a hurry. He should be staring at this year's Cole Award, but he got out halfway. You forced him to hastily play this hole card."

Qin Ke snapped his fingers: "My Yun'er is smart, I guess that's probably the case. With his level, I'm afraid he can see that there is a problem with this direction, but in order to win the Cole Award, he has to send it out first, at least in terms of momentum." Upwind."

Ning Qingyun blushed a little after being praised, she lowered her eyes in embarrassment, but she took the initiative to put her arms around Qin Ke's arm: "Qin Xiaoke, can we really complete the proof of Polignac's conjecture in ten days?"

Qin Ke sniffed the fresh air on the campus of Yanda University, and the touching lime-like body fragrance of the girl beside him, and couldn't help but kissed her little face: "You are my best partner now, with your help , ten days is a conservative estimate, if all goes well, five days will be enough."

Ning Qingyun looked around in a panic, and when she found that no one was looking at her on the school road, she blushed and kissed Qin Ke back.

After the relationship between the two becomes intimate, although it is difficult for the girl to change her natural love and shyness, she will be more courageous when she is sweet in her heart.

Qin Ke reminisced about the warm and soft touch just now, narrowed his eyes in enjoyment and said, "During the exam this morning, I have solved the problem of 'the accumulation of even numbers and their differences'. If you have time in the afternoon, you can do this." Part of the content was completed according to my ideas and written into the thesis of the 'Pollignac Conjecture'."

Qin Ke explained the results of the morning to Ning Qingjun in detail. With the function of "thinking resonance", Ning Qingyun understood after only listening to it once, and said with sparkling eyes: "Okay. I will do it this afternoon. Supplementary and complete writing, we have completed two-thirds of this subject."

"There is only the last part left, let's work hard."

Ning Qingyun clenched her small fists: "I will work hard too. I already have an idea of ​​the key point of 'the fixed value of the interval difference must be an infinite group', and I should be able to solve it within three days."

After Ning Qingyun joined Qin Ke's research group in November last year, she launched an attack on the Polignac conjecture through different number theory methods. In addition to the "lime number theory fourth-order transformation method", she has been working on it for the past month. I tried repeatedly to use the mathematical method proposed in the handwritten notes of Academician Wang Lao.

As a mathematician of the older generation, Academician Wang spent a lot of space in his thick stack of handwritten manuscripts on the three important tools of modern analytic number theory: the big sieve method, the circle method and the group theory method. Optimize and refine.

The combination of these three mathematical methods has been brilliant in the history of mathematics for hundreds of years, and the relevant treatises and works are estimated to fill a standard football field, but they still have great limitations. Academician Wang Lao spent his whole life. Compress the limitations of these three mathematical methods, make them rejuvenate, and push them to a new height.

It can be said that if you can skillfully use these three mathematical methods improved and optimized by Academician Wang Lao, you can even derive the second set of expressions of the Riemann conjecture, which will also be of great help to overcome the Polignac conjecture .

However, the task issued by the system "It's time to charge the world's famous conjecture", which requires "to prove the Polignac conjecture with a brand-new mathematical method", the big sieve method, the circle method and the group No matter how optimized and perfect the theory is, it can only be regarded as a secondary innovation on the original mathematical method, not a "new mathematical method".

Even if it is barely used to prove the Polignac conjecture, it is not considered to complete the task of the system.

So after thinking about it, Qin Ke used the "Thinking Resonance" to pass on the lifelong hard work of Academician Wang to Ning Qingjun, so that Ning Qingyun could carry it forward. Ning Qingyun is currently specializing in number theory and has mastered the knowledge of Academician Wang Combined with the content taught by Professor Tian Jianlan, it is enough to lay the foundation for her future master of number theory.

And Qin Ke himself chose to continue to study and integrate the "function transformation hypergeometric system" and "group theory function equation method" recorded in the "Full Analysis of the Riemann Conjecture" in the system-level S-level knowledge, intending to create a new set of Mathematical method.

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