From University Lecturer to Chief Academician
Chapter 358 Riemann's conjecture is just a side effect?
[Task four. 】
[Research Project Name: Find the correlation between the complex plane of the minimum pair of node functions and the Riemann Hypothesis (difficulty: S). 】
[Inspiration value: 80. 】
Looking at the inspiration value data displayed on the system task, Wang Hao's eyes did not move, and he began to think carefully.
The system prompts an increase in inspiration, which proves that his thinking must be correct. At the same time, the inspiration of '80' points also shows that the research has not been completed, and there are still problems to be solved.
Moreover, there is more than one problem.
Wang Hao quickly thought of three problems that need to be solved. The first one has a clear idea, which is to prove that 'all non-trivial zeros of the Riemann ζ function are contained in the complex plane corresponding to the red line'.
There are two points that need to be solved in the follow-up, one is 'to prove that all the prime points of the minimum prime pair node function are in the complex plane corresponding to the red line'.
The second is "connecting the law of numbers, sieve method, or other number theory methods to prove that the smallest prime number pair node function, substituting any prime number will solve the corresponding prime number."
The last question is actually the "first question of Wang's conjecture" raised by Wiles.
Although the proof probably has little to do with the shaping of quality, Wang Hao is still very motivated to study it because it represents extraordinary mathematical significance.
In addition, after all the proofs are completed, the Riemann Hypothesis can also be proved incidentally.
Riemann's conjecture can be said to be the "side result" of the research.
This is mainly because there are countless prime number points in the complex plane corresponding to the red line, and its coverage is far more than the Riemann conjecture. The Riemann conjecture is included in it, and naturally it can only be a by-product.
After having a clear idea, Wang Hao immediately summoned two generals——
Ding Zhiqiang and Qiu Huian.
He also quickly explained the work, "Now that I have a direction, our first step is to prove that all non-trivial zeros of the Riemann ζ function are contained in the complex plane of intersection..."
at the same time.
The impact of Wang Hao's high-order particle function report is gradually fermenting.
The report was made public this time, and the video of the report was released publicly. Everyone can watch it for free, and many ordinary people clicked on the video and glanced at it.
Although most people don't understand what Wang Hao is talking about, it doesn't affect them to turn on the video to join in the fun, and they also get some academic atmosphere by the way.
In the video of the whole report, the most interesting thing is naturally not the content, but Ding Zhiqiang, who first appeared on stage. Many people on the Internet have discussed Ding Zhiqiang.
"That's the student Wang Hao values most!"
"Such an important report has Ding Zhiqiang on the stage, and only Ding Zhiqiang is on the stage!"
"It is said that Wang Hao did the research himself. He asked Ding Zhiqiang to explain the opening part, which is enough to show that he attaches great importance to Ding Zhiqiang."
"However, this little fat man looks average, and his eyes are a bit wretched... What does God Wang Hao value in him?"
"You judge people by their cover!"
"No matter how bad Ding Zhiqiang is, he is still Wang Hao's student, and he is also a very good doctor of mathematics. His IQ definitely exceeds 99.9% of people..."
In the beginning, Ding Zhiqiang knew that he was Wang Hao's valued student because he came to the stage to help with the report, which recently caused widespread heated discussions on the Internet.
After many people checked Ding Zhiqiang's information, they found that Ding Zhiqiang was not unknown. He had participated in many large-scale researches, and some of the top achievements were named.
Because he has been working in the calculation group, more than a dozen papers on element matching calculation of semi-topological theory with considerable gold content also bear Ding Zhiqiang's name.
On the well-known paper website, searching for Ding Zhiqiang can find more than 30 papers.
Among these papers, some are researches of Computing Group, some are researches of Wang Hao, Ding Zhiqiang himself has published several papers, and three of them were selected into SCI.
Just looking at the relevant information on the thesis website, you can know how good Ding Zhiqiang is, especially since he is only a PhD candidate.
This resume can definitely be called brilliant!
However, among Wang Hao's students, Ding Zhiqiang is not very outstanding, and can even be said to be the worst one. From the perspective of the influence of academic achievements, Ding Zhiqiang's personal research is his own achievement.
For other studies including the Computing Group and Wang Hao, he is just a name, and he can only say that he participated in the research work. As for the contribution, it is difficult to say.
For many influential papers, the academic community only cares about the first author and the corresponding author, and the other authors are only "named".
Wang Hao's other students, Helen and Chen Mengmeng's "Strong Annihilating Power", can overwhelm all the achievements of Ding Zhiqiang.
Up to now, the paper "Strong Annihilation Force" is still considered as the theoretical basis of the research direction of strong annihilation force, and no other theoretical research has surpassed the coverage.
Another student, Qiu Hui'an, completed the "Proof of Legendre's Conjecture", for which he won the Zhong Jiaqing Mathematics Award from the Mathematics Society.
That was done during graduate school.
Qiu Hui'an also has several other types of SCI papers, and his achievements in mathematics are stronger than Ding Zhiqiang's.
In short, Ding Zhiqiang is very good, but compared with his peers, he can only be called 'average'.
But obviously, Wang Hao is very optimistic about Ding Zhiqiang.
He not only asked Ding Zhiqiang to help start the beginning, but also asked Ding Zhiqiang to explain his thoughts on the research of higher-order particle functions, and gave him the opportunity to show himself in front of many mathematical bigwigs.
When public opinion continued to ferment, some new news appeared.
For example, someone broke the news about why Ding Zhiqiang was "favored" because he had already become Wang Hao's student when he was a sophomore.
At that time, Wang Hao had just come to Xihai University, and he only had some achievements, far from being a top scholar.
Such a student who is slowly rising with Wang Hao, which teacher would not "love" him?
After the public opinion fermented, there were naturally some negative comments. For example, Ding Zhiqiang was not very good, and he was named in some papers only because Wang Hao valued it.
Of course it's normal.
Public opinion is like this, no matter when, no matter whether it is directed at anyone, there will always be some negative comments.
The academic community pays more attention to the research idea expressed by Ding Zhiqiang. They have noticed the complex plane corresponding to the red line standard, but most scholars agree with Qiu Hui'an's judgment -
"High-dimensional functional equations, corresponding to the direction of algebraic geometry, it is normal to have intersection planes."
"This complex plane cannot be expressed by a single function, and it is hard to say whether it is worth studying..."
"A similar complex plane appears in the graph corresponding to the equation. It is not even a coincidence. This idea is naive."
"Wang Hao is just cultivating students, encouraging him to speak out his ideas bravely..."
Most scholars don't care.
But there must still be scholars who care, after all, everyone has different ideas.
Many scholars have also done targeted research, but it is very difficult to find something, but some scholars have done in-depth analysis, and found that the complex plane corresponding to the red line is likely to be the study of higher-order particle functions. The essential.
For example, Flott Alsos of the Newton Institute.
Flott Alsos is a very outstanding young genius. He graduated from the Department of Mathematics of Cambridge University. After graduation, he went to Princeton University as a visiting scholar and was hired as a professor in only one year.
After two years at Princeton, he returned to Eagle Country to join the Newton Institute.
At this time, he was only thirty years old.
Flot-Alsos is only thirty-two years old now, he is very interested in higher-order particle functions, and has been doing related research since the publication of the research results.
After knowing Ding Zhiqiang's thoughts from the video, he immediately contacted his own research, noticed the complex plane corresponding to the red line, and even derived several very similar equations.
After making comparisons one by one, Flott-Alsos came to an astonishing conclusion, "All the prime points of the higher-order particle function are likely to be concentrated on this complex plane!"
"This is an absolutely amazing discovery!"
"That student named Ding Zhiqiang is really a genius, but he is too stupid to publicly explain his research..."
...
Xihai University, Mason Mathematical Sciences Laboratory, Director's Office.
Wang Hao took Ding Zhiqiang and Qiu Hui'an together to quickly complete the first difficult problem, and then spent another week to solve the second difficult problem.
They proved that the minimum prime number pair node function, all possible prime number points, are in the complex plane corresponding to the red line.
The first problem was solved smoothly, and it took only one afternoon for Wang Hao to complete the proof.
The second problem took a week. During the process, Wang Hao and two students continued to discuss. The proof process of the summary alone filled more than 50 sheets of A4 paper.
After completing the second difficult problem, Wang Hao breathed a sigh of relief, the inspiration value displayed on the task reached '93', and it is not far from completing all the proofs
Ding Zhiqiang and Qiu Huian were very excited.
They kept looking at their work, and went to look at the proof process a little bit, and they couldn't help holding up their coffee cups to celebrate, "It's finally done!"
"Very good!"
Qiu Hui'an gave Ding Zhiqiang a thumbs up, "Your idea is correct, the complex plane is really important, it contains all the prime number points, even the non-trivial zero point of Riemann's conjecture... "
His tone was sour, embarrassing, and inevitably excited, in short, it was very complicated.
Looking back a week ago, he still felt that Wang Hao was training Ding Zhiqiang, and he didn't believe that the complex plane was special at all.
Now that the relevant proofs have been completed, Qiu Hui'an will naturally feel very embarrassed. Fortunately, they completed the research together, and he participated in the whole process, so the embarrassment is much less.
Excitement dominated his mood.
This is definitely a big achievement!
It's just a pity...
"time is too short!"
Qiu Hui'an said with some regret, "If it is postponed for another 20 or 30 years, then it will definitely be a major progress in the research of Wang's conjecture..."
"yes."
Ding Zhiqiang also sighed.
They are very familiar with the work they are doing. It is definitely the top mathematical research in the world. At the same time, they also know that even if the results are released, the influence is not as great as imagined. It can only be said to be a major progress in the research of higher-order particle functions. '.
That's all.
This is mainly because the difficulty of the study has not been identified.
For example, some internationally famous mathematical problems, such as the twin prime number conjecture, have not been achieved after decades of research, and the difficulty is naturally recognized. After relevant results are obtained, they are considered to be 'very important', and relevant scholars also Will become very famous, even directly named 'top mathematician'.
Their work is not bad at all, but the high-order particle function is a direction that has just appeared, and the difficulty has not been confirmed. It is very difficult to get great recognition based on this.
What's more, the subject of the research is still Wang Hao, and they just follow along to do some work.
After listening to the conversation between the two, Wang Hao found it very interesting. He naturally understood the student's mentality of "eager to get big results". A few years later, he would have the same mentality.
He smiled and interrupted, "Don't worry, our research has not been completed yet."
"not complete?"
"Isn't it already finished?"
Ding Zhiqiang and Qiu Huian looked over together.
Wang Hao said with a smile, "This is not the final result, our next step is very important."
Together they listened curiously.
Wang Hao became much more serious, "Our next step is to connect the laws of numbers and the definition of prime numbers, and use algebraic geometry and geometry methods to demonstrate the inevitability of the rotation of figures on both sides of the complex plane."
"—?"
"..."
Ding Zhiqiang and Qiu Hui'an were a little confused when they heard it. They thought carefully for a long time before they understood what Wang Hao meant.
"Mr. Wang, you mean that the corresponding prime number points can be obtained by substituting prime numbers, and there is some correlation with the law of prime numbers?"
Ding Zhiqiang thought about it and continued, "That is, to prove the minimum prime number pair node function, if any prime number is substituted, the corresponding prime number will be obtained?"
Qiu Hui'an then shouted, "The first question of Wang's conjecture?"
He continued to think and said, "If this proof is completed, plus the non-trivial zero point problem of Riemann's conjecture, it is included in the complex plane, in other words..."
He and Ding Zhiqiang looked at each other and shouted in unison, "Riemann's conjecture!"
Children can be taught!
Wang Hao couldn't help but nodded in satisfaction. He could analyze so many things with just one sentence. The level of Ding Zhiqiang and Qiu Hui'an was indeed quite good.
He explained, "Although the Riemann Hypothesis can be proved in the end, it is only an incidental result. The main thing we need to do is to complete the proof that there are infinite prime points in the high-order particle function."
"In connection with the definition of prime numbers, you can..."
"Actually..."
Neither Ding Zhiqiang nor Qiu Hui'an could hear what Wang Hao said next.
They were so surprised!
In any case, it never occurred to them that the study of the special complex plane would involve proving the Riemann Hypothesis, and that is...
Proof by the way?
Both of them were full of astonishment and anticipation at the same time. Ding Zhiqiang couldn't wait to continue his research. He felt that this was the first time he was so motivated to do a research.
Riemann guessed...
This proof is just adding a name, it is definitely a huge honor!
Qiu Hui'an also felt the same, but he couldn't help but look a little strange.
When Ding Zhiqiang was excited, he noticed Qiu Hui'an's expression and asked immediately, "Why, you seem unhappy? We are going to prove the Riemann conjecture soon!"
"I am very happy."
"Is that so?"
"real."
Qiu Hui'an had a complicated expression, which was interpreted by Ding Zhiqiang as 'excessive excitement'.
In fact, Qiu Hui'an's mood was indeed very complicated. He recalled his previous remarks, especially with Kachel-Birkar, and said with certainty that "it was not to prove the Riemann conjecture", and found that he didn't know what to do after going out. Confront the others.
To know……
Mr. Wang Hao originally wanted to invite Birkar to do research together. Later, Birkar came to the Mason Number Laboratory. He said that it was only Ding Zhiqiang's idea, and he said with 100% certainty that they were not doing research on the Riemann conjecture. .
Bilkar may well have decided not to participate as a result.
result……
...
Qiu Huian went out anyway.
It is impossible for him to be bored in the office for a long time, and occasionally he will go out for dinner with Ding Zhiqiang.
Then he ran into Birkar by accident.
Birkar was walking forward with a book in his arms. When he saw Qiu Huian and Ding Zhiqiang, he immediately waved his hands and asked, "Xiaoqiu, Xiaoding,? I heard that you and Wang Hao have been bored in the office for a long time. How is it, has your research progressed?"
"Ah~~"
Qiu Hui'an touched his forehead in embarrassment, and said, "There is some progress."
Birkar looked at Ding Zhiqiang again.
Qiu Hui'an immediately pulled Ding Zhiqiang away, and Ding Zhiqiang asked strangely, "What's wrong?"
"I'm hungry."
"But you can't just walk away, Mr. Birkar is not someone else, he has a very good relationship with Mr. Wang, tell me...and..."
"Let's go!"
Qiu Huian quickly pulled Ding Zhiqiang towards him.
Bill Carlton was a little dissatisfied at times. He felt that his academic integrity had been questioned.
There are results, don't you say?
Are you still afraid that I will spread the word?
On the other side, Qiu Hui'an was eating silently, and suddenly looked up at Ding Zhiqiang, and said, "Shall we exercise together in the future? Let's run and go to the gym. I also want to learn a little taekwondo, Sanda and so on..."
Ding Zhiqiang wondered, "Why?"
Qiu Hui'an remained silent.
He couldn't say that he was afraid that Bill Karl would attack him personally, right?
Then he found a reason, "It's time for you to lose weight."
"roll!"
...
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