Chapter 357: Riemann Hypothesis is just a side result?
【Task 4.】
[Research project name: Finding the correlation between the intersection complex plane of the minimum pair of nodal 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 in his mind.
The system prompted an increase in inspiration, proving that his idea was definitely correct. At the same time, the inspiration point of '80' also showed that the research had not been completed and there were still problems that needed to be solved.
Moreover, there is more than one problem.
Wang Hao quickly thought of three problems that needed to be solved. The first one already had a clear idea, which was to prove that all non-trivial zeros of the Riemann zeta function are included 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 one is to "connect with the law of numbers, the sieve method, or other number theory methods to prove that the minimum prime number is a node function, and if any prime number is substituted, the corresponding prime number will be obtained."
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 mass, 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. The Riemann Hypothesis can be said to be a by-product of the research.
This is mainly because the complex plane corresponding to the red line has countless prime number points, and its coverage is far more than the Riemann Hypothesis. The Riemann Hypothesis 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 Hui'an.
He also quickly handed over his work, "Now that I have a direction, our first step is to prove that all non-trivial zeros of the Riemannian function are included in the intersection complex plane..."
at the same time.
The impact of Wang Hao’s report on higher-order particle functions is gradually growing.
This time the report was made public, and the video of the report was released publicly and everyone could watch it for free. Many ordinary people also clicked on the video and took a few glances.
Although most people don't understand what Wang Haojiang is talking about, it doesn't stop them from turning on the video to join in the fun and gain some academic flavor.
In the whole video of the report, the most eye-catching thing is naturally not the content, but Ding Zhiqiang who first came on stage. Many people on the Internet discussed Ding Zhiqiang.
"That is the student Wang Hao values the most!"
"Ding Zhiqiang has to be present for such an important report, and only Ding Zhiqiang is present!"
"It is said that Wang Hao did the research himself. He asked Ding Zhiqiang to explain the beginning, which is enough to show the importance he attaches to Ding Zhiqiang."
"But this little fat guy looks average, and his eyes are a bit wretched... What does Master Wang Hao value in him?" "You judge people by their appearance!"
"No matter how good Ding Zhiqiang is, he is still a student of Wang Hao. He is also a very good doctor of mathematics. His IQ is definitely higher than 99.9% of people..."
At first, Ding Zhiqiang came on stage to help give a report and knew that he was a student Wang Hao valued, which recently aroused widespread heated discussion on the Internet.
After checking Ding Zhiqiang's information, many people discovered that Ding Zhiqiang is not unknown. He has participated in many large-scale studies and has been credited with some top results.
Because he has been working in the calculation group, more than a dozen valuable semi-topological theory element matching calculation papers also bear Ding Zhiqiang’s name.
Searching for Ding Zhiqiang on a well-known paper website can find more than thirty papers.
Some of these papers are research by the computing group, and some are research by Wang Hao. Ding Zhiqiang has also published several papers personally, three of which have been selected by SCI.
Just by looking at the relevant information on the thesis website, you can know how outstanding Ding Zhiqiang is, especially since he is only a Ph.D. student.
this
This resume can definitely be called brilliant!
However, among several students of Wang Hao, 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, the research completed by Ding Zhiqiang personally is truly his own achievement.
Others include the computing group and Wang Hao's research. He only names himself and can only say that he participated in the research work. As for the extent of his contribution, it is difficult to say.
For many influential papers, the academic community only cares about the first author and corresponding author, and the other authors are only nominal. Several other students of Wang Hao, such as Helen and Chen Mengmeng's "Strong Annihilation Force", can
Overshadowing all achievements of Ding Zhiqiang.
Until now, the paper "Strong Annihilation Force" is still considered to be the theoretical basis for the research direction of strong annihilation force, and no other theoretical research can surpass its coverage.
Another student, Qiu Hui'an, completed the "Proof of Legendre's Conjecture" and received the Chung Jiaqing Mathematics Award from the Mathematical Society.
That was done during graduate school.
Qiu Hui'an also has several other types of SCI papers, and his results in mathematics are stronger than Ding Zhiqiang. In short, Ding Zhiqiang is very good, but compared with his peers, he can only be said to be 'average'.
But obviously, Wang Hao is very optimistic about Ding Zhiqiang.
He not only asked Ding Zhiqiang to help get the beginning started, but also asked Ding Zhiqiang to explain his thoughts on the research of higher-order particle functions, giving him the opportunity to show himself in front of many mathematics masters.
As public opinion continued to ferment, some new news emerged.
For example, someone broke the news that why Ding Zhiqiang was "favored" because he had already become Wang Hao's student when he was a sophomore in college.
At that time, Wang Hao had just arrived at Xihai University. He only had some achievements and was far from being a top scholar. Which teacher would not love such a student who was slowly rising with Wang Hao?
When public opinion fermented, there were naturally some negative comments. For example, Ding Zhiqiang was not very good, and he only put his name on some papers because Wang Hao valued him.
Of course it is normal.
Public opinion is like this. No matter when it comes, no matter who it is, there will always be some negative comments.
The academic community is more concerned about the research ideas stated by Ding Zhiqiang. They have noticed the complex plane corresponding to the red line standard, but most scholars are consistent with Qiu Hui'an's judgment -
"It is normal for high-dimensional function equations and corresponding algebraic geometry directions to have intersecting planes."
"This complex plane cannot be expressed by a single function, and it is difficult to say whether it is worth studying..."
"Similar complex planes appear in the graphs corresponding to equations. It is not even a coincidence. This idea is very naive." "Wang Hao just trains students and encourages them to speak out their thoughts 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. However, some scholars have done in-depth analysis and found that the complex plane corresponding to the red line is probably the study of higher-order particle functions.
The essential.
For example, Flot-Alshaus of the Newton Institute.
Flot-Alshaus was a very outstanding young genius. He graduated from the Department of Mathematics at Cambridge University. After graduation, he went to Princeton University as a visiting scholar and was appointed as a professor in just one year.
After working at Princeton University for two years, he returned to Eagle Country to join the Newton Institute. At this time, he was only thirty years old.
Now Flot-Alshaus is only thirty-two years old. He is very interested in higher-order particle functions and has been doing related research since the release of the research results.
After learning about 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, Flot-Alshaus came to a surprising conclusion:
"All prime points of higher-order particle functions 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..."...
Sokai University, Mason Mathematical Sciences Laboratory, Office of the Director.
Wang Hao, together with Ding Zhiqiang and Qiu Hui'an, quickly completed the first problem, and then spent another week solving the second problem.
They proved that the minimum prime pair node function, and all possible prime points, are in the complex plane corresponding to the red line.
The first difficult problem was solved very smoothly. It only took one afternoon for Wang Hao to complete the proof.
The second difficult problem took a week. During the process, Wang Hao and two students continued to discuss it. The summary of the proof process alone filled more than fifty A4 sheets of paper.
After completing the second problem, Wang Hao breathed a sigh of relief. The inspiration value displayed on the task reached '93', and he was not far away from completing all the proofs.
Ding Zhiqiang and Qiu Hui'an were both very excited.
They kept reviewing their work and reviewing the proof process step by step. They couldn't help but pick up their coffee cups and celebrate, "It's finally done!"
"Very good!"
Qiu Hui'an gave a thumbs up to Ding Zhiqiang, "Your idea is correct. The complex plane is indeed very important. It actually contains all prime number points, even the non-trivial zero points of the Riemann Hypothesis.
..."
His tone contained sourness, embarrassment, and excitement. In short, it was very complicated.
Looking back a week ago, he still felt that Wang Hao was training Ding Zhiqiang and did not believe that there was anything special about the complex plane.
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 was definitely a great achievement!
It's just a pity..."The time is too short!"
Qiu Hui'an said with some regret, "If it is postponed for another 20 or 30 years, by then, there will definitely be a major progress in the research on Wang's conjecture..."
"yes."
Ding Zhiqiang also sighed.
They are very familiar with the work they are doing. It is definitely the world's top mathematical research. They also know that even if the results are released, the impact 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 research has not been confirmed.
For example, some internationally famous mathematical problems, such as the twin prime number conjecture, have not yielded results after decades of research. The difficulty is naturally recognized. After relevant results are achieved, they are considered "very important". Related scholars
He will also become very famous, and even be directly dubbed as a "top mathematician".
Their work is not bad at all, but higher-order mass point functions are a newly emerging direction, and the difficulty has not yet been confirmed. It is difficult to gain great recognition for this.
What's more, the main subject of the research is still Wang Hao, and they are just following along to do some work.
Wang Hao listened to the conversation between the two and found it very interesting. He could naturally understand the students' mentality of "eager to get big results". A few years later, he would have the same mentality.
He smiled, interrupted and said, "Don't be anxious, our research is not completed yet." "Not completed?"
"Isn't it already finished?"
Ding Zhiqiang and Qiu Hui'an looked over together.
Wang Hao smiled and said, "This is not the final result, our next step is very important." They listened curiously.
Wang Hao became more serious, "Our next step is to connect the laws of numbers and the definition of prime numbers, and use algebraic geometry methods and geometric methods to demonstrate the inevitability of the rotation of figures on both sides of the complex plane."
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Ding Zhiqiang and Qiu Hui'an were a little confused. They thought carefully for a long time before they understood what Wang Hao meant. "Teacher Wang, what you mean is that by substituting prime numbers, we can find the corresponding prime points and the rules for the occurrence of prime numbers."
Is there some kind of correlation?"
Ding Zhiqiang continued thinking, "In other words, to prove that the minimum prime number pair node function, if any prime number is substituted, the corresponding prime number will be obtained?"
Qiu Hui'an 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 hypothesis, it is included in the complex plane, in other words..."
He and Ding Zhiqiang looked at each other and shouted in unison, "Riemann Hypothesis!" What a teachable boy!
Wang Hao couldn't help but nodded with satisfaction. With just one sentence, he could analyze so many things. 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 a side result. Our most important thing is to complete the proof that there are infinite prime points in higher-order particle functions."
"Contact the definition of prime numbers, you can..." "Actually..."
Ding Zhiqiang and Qiu Hui'an could no longer hear what Wang Hao said next. They were too surprised!
In any case, none of them thought that studying the special complex plane would involve proving the Riemann Hypothesis, and...incidentally?
Both of them were full of surprises and very much looking forward to it. 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 Hypothesis...
Just adding a name to this certificate is definitely a huge honor!
Qiu Hui'an also felt the same, but he couldn't laugh and his expression looked a little strange.
While Ding Zhiqiang was excited, he noticed Qiu Hui'an's expression and asked immediately, "Why, you seem unhappy? We are about to prove the Riemann Hypothesis!"
"I'm very happy." "Is that so?" "Really."
Qiu Hui'an's expression was full of complex expressions, which Ding Zhiqiang interpreted as "overly excited."
In fact, Qiu Hui'an's mood was indeed very complicated. He recalled what he had said before, especially with Kacher-Birkar, and he was very sure that "it was not a proof of the Riemann Hypothesis." He found that he didn't know what to do after going out.
Facing other people. You have to know...
Teacher Wang Hao initially wanted to invite Bill Carr to do research together. Later Bill Carr came to the Mason Number Laboratory and said, "It was just Ding Zhiqiang's idea." He also said with 100% certainty that they were not doing research on the Riemann Hypothesis.
.
Bill Carr likely decided not to participate as a result.
result.....
....
Qiu Hui'an still went out.
He couldn't stay bored in the office for a long time, and occasionally he would go out to have a meal with Ding Zhiqiang. Then he met Bill Carr by chance.
Birkar was walking forward with a book in his arms. When he saw Qiu Hui'an and Ding Zhiqiang, he immediately waved his hand and asked, "Xiao Qiu, Xiao Ding? I heard that you and Wang Hao have been bored in the office for a long time.
How's it going? Is there any progress in your research?"
"Uh~~"
Qiu Hui'an touched his forehead awkwardly and said, "There has been some progress." Birkar looked at Ding Zhiqiang again.
"But you can't just walk away. Mr. Birkar is not someone else. He has a very good relationship with Teacher Wang. Let me tell you...and..."
"Let's go quickly!"
Qiu Hui'an quickly pulled Ding Zhiqiang towards him.
Bill Carl was suddenly a little dissatisfied. He felt that his academic character had been questioned. If there are results, why don't you tell me?
Are you still afraid that my news will spread?
On the other side, Qiu Hui'an was eating silently when he suddenly looked up at Ding Zhiqiang and said, "Shall we exercise together in the future?"
Running, going to the gym, I also want to learn some Taekwondo, Sanda and the like..."
Ding Zhiqiang asked in confusion, "Why?" Qiu Hui'an remained silent.
He couldn't say that he was afraid that Bill Carr would personally attack him in anger, right? Then he found a reason, "It's time for you to lose weight."