From University Lecturer to Chief Academician

Wang Hao picked up the A4 paper and stared at the red line of the complex graphic standard on it, without moving his eyes.

He really didn't expect that what Ding Zhiqiang said turned out to be the complex plane corresponding to the real red line, and it was actually related to the Riemann conjecture.

The professional explanation for Ding Zhiqiang's problem is——

After the high-order particle function is substituted into the minimum prime number pair node, the resulting function corresponds to a five-dimensional algebraic geometry (including imaginary number solutions), a complex surface of the central interlayer, which is related to the Riemann Hypothesis...

Could this finding be a coincidence?

No.

There must be some inevitability.

One of the important reasons is that the Riemann function is one of the foundations for shaping higher-order particle functions.

But the problem is that the shaping process of higher-order particle functions does not use the algebraic geometry method.

So what do the new findings mean?

Staring at the red line on the A4 paper, Wang Hao frowned and thought for a long time, but couldn't think of any method for a while. The only thing he was sure of was that the new discovery must have great potential, and it would take careful research to know exactly what it represented.

Qiu Hui'an also came over.

He noticed that Wang Hao had been staring at the A4 paper, and said with a smile, Teacher Wang, don't listen to Ding Zhiqiang, what he said is unreliable. "

"Before you came back, I had discussed with him several times. The complex plane corresponding to this red line has nothing to do with Riemann's conjecture."

"oh?"

Wang Hao thought about it and looked at Qiu Hui'an.

Qiu Hui'an said, "At first I thought what he said was possible, but later I found out that the complex plane cannot be represented by a function, but the intersection of countless high-dimensional graphics."

"For example, there are many straight lines in different directions. They intersect in pairs, and then connect these points in series."

"It is almost impossible to express the obtained graph in an equation, unless all the associated straight lines are passed through... But the problem is that there are infinitely many straight lines..."

After hearing this, Wang Hao nodded in thought.

From what Qiu Hui'an said, we know that the two of them have indeed studied it carefully, and have a basic understanding of the complex plane represented by the red line, knowing that it is impossible to express it with a single function.

He opened his mouth and said, "Xiaoqiu, don't you think that the intersection of countless high-dimensional figures to form a complex plane is a magical thing in itself?"

"this……"

Qiu Hui'an hesitated for a moment, and said, "It's really strange, but I also know about algebraic geometry. It's not surprising that multiple four-dimensional and five-dimensional complex figures intersect on one surface. This and the corresponding function related to the equation."

"Yes, you are right."

Wang Hao nodded in agreement with this sentence, and then said, "But Zhiqiang's research is on higher-order particle functions, so I think a brand-new idea is necessary for in-depth research."

"Even if it really doesn't have special significance, we have to prove it before we can draw a conclusion."

"Also, Xiao Qiu..."

"As your teacher, I think it is necessary to say that when studying this thing, inspiration is very important, even more important than ability. You are still very young, so don't be limited by some inherent ideas."

"You think an idea doesn't make sense, but what if it does? Wouldn't you just miss out on a great discovery?"

"Forehead……"

It never occurred to Qiu Hui'an that when he shared his thoughts, he would be lectured by Teacher Wang Hao.

this……

He looked up again and saw that Teacher Wang Hao looked like Ding Zhiqiang with a pleasant face, "Zhiqiang, I think your idea is very good, and it may bring a new research direction."

"So, I decided to study with you!"

"This is probably a new discovery!"

Ding Zhiqiang didn't speak for a long time, he was very uneasy, mainly because he was worried that Wang Hao would not approve of his ideas.

This is very important.

If it was someone else, such as Qiu Hui'an, he didn't care if he approved or not. The most he could do was argue with the other party, and he couldn't be persuaded no matter what.

Wang Hao is different.

If Wang Hao didn't agree with his idea, Ding Zhiqiang felt that he would have no confidence, and he might just give up.

Now that he heard that Wang Hao not only recognized his own ideas, but also planned to study with him, he immediately felt very excited, "Mr. Wang, do you really think so?"

"Of course!"

Wang Hao patted Ding Zhiqiang's shoulder intimately, "Zhiqiang, your idea is very good. I saw the position represented by the red line and found it very different. There must be some kind of law in it."

"Let's study together..."

Ding Zhiqiang immediately said, "Come and see my process of making rough drawings...that's what I think..."

The two discussed seriously.

Qiu Hui'an returned to his seat with depression, and then looked up at Wang Hao and Ding Zhiqiang who were discussing enthusiastically, and couldn't help feeling a little sour in his heart.

Also a student...

How do you feel you are being treated differently?

...

The position marked by Ding Zhiqiang's red line is indeed a bit unusual, just like what Qiu Hui'an said, the complex plane corresponding to the red line is the intersection of countless high-dimensional figures. As long as the figure is made normally, the position of the red line must be Mark it out.

During the discussion between Wang Hao and Ding Zhiqiang, they also learned about the complex plane corresponding to the red line.

He also thought about the key.

Ding Zhiqiang said that "the complex plane corresponding to the red line is correlated with the Riemann Hypothesis", so what is the correlation?

Riemann conjectures that there is also a complex plane.

In the Riemann Hypothesis, the straight line with Re(s)=1/2 on the complex plane is called critical-line.

Using this terminology, the Riemann Hypothesis is expressed as - all non-trivial zeros of the Riemann zeta function are located on the critical-line.

That is, all non-trivial zeros of the Riemann ζ function are located on the straight line Re(s)=1/2 on the complex plane (Re(s) represents the real part of the complex number s).

Although it can be determined that the two complex planes have a certain correlation, just like the problem encountered by Ding Zhiqiang, he did not analyze the minimum pair of node functions (the binary function equation obtained by substituting the high-order particle function into 5 and 17) .

Without derivation and other analysis, it is impossible to make any verification.

If you just use thinking to make inferences, it is obviously impossible to get any results.

Wang Hao simply asked Qiu Hui'an to join in, and the three masters and apprentices carefully analyzed the minimum pair node function. At the same time, he also established a task--

[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: 0. 】

"S-level difficulty..."

"fine."

When he saw the difficulty of the name of the research project, Wang Hao frowned slightly. He always felt that the newly discovered research direction was very important, and he thought it would be an 'S+' level of difficulty.

S-Class...

"Perhaps it is not necessarily the difficulty that determines the outcome, and some kind of key has been found?"

Wang Hao thought carefully.

It's the feeling.

Although the major mathematical research done in the past mainly relied on systematic feedback and inspiration improvement, after solving so many major mathematical problems, Wang Hao's understanding of the main directions such as number theory and function theory has definitely reached the top degree.

Relying on his understanding of mathematics, he is also very confident in his own feelings.

In a new study, sometimes feeling is very important.

Like Ding Zhiqiang...

Wang Hao glanced at Ding Zhiqiang, who was devoting himself to thinking, and nodded in satisfaction. He immediately sank his mind and continued to analyze the minimum pair of node functions.

The reason why Ding Zhiqiang did not analyze the minimum docking point function is mainly because of the difficulty.

This function is simply too complicated.

As a function similar to a partial differential equation, it is difficult to analyze and convert it. Most of the similar functions are impossible to analyze.

If the algebraic geometry analysis is carried out through splitting, it is also very difficult to connect them together. They have studied together for two days without any progress.

During the whole process, the inspiration value brought was not much, and there was only a pitiful '1' point.

Wang Hao felt that he should find an expert in algebraic geometry. He immediately thought of Kachel-Birkar and called him directly.

The current Kachel-Birkar is no longer a pure scholar. Relying on his in-depth research on the theory of superconducting semi-topology, he was hired by Superconducting Industrial Materials Company as a special consultant for the technology department.

This position brings a high income, to be precise, the annual salary easily exceeds 10 million.

Birkar is about to turn fifty years old. With a high salary and easy work, he will go on vacation with his wife when he has time.

At this time, Bilkar was basking in the sun on the beach, and his wife was helping to apply sunscreen. He found out that it was Wang Hao who called. He made a shush gesture to his wife, sat up and said, "Wang Hao, long time no see, you Did you go back to college?"

"Yes, Kachel, are you not there?"

"I'm in Yacheng."

"That's a really good place." Wang Hao smiled and exchanged pleasantries with Birkar, and then got to the main topic, "I have a research related to algebraic geometry, are you interested?"

"Tell me."

"I am a student's idea, you also know it, Ding Zhiqiang, he thinks that the intersection line complex plane of the smallest pair of node functions has a certain correlation with the Riemann Hypothesis..."

Wang Hao simply explained.

Bill Karl listened and thought, and asked, "I know Ding Zhiqiang, a very good young man, is this his idea? The complex plane is related to the Riemann Hypothesis..."

"right."

"kindness……"

Bircar hesitated for a moment, and said, "Well, you guys study first, and I'll talk about it when I go back."

"All right."

From Bircar's tone, Wang Hao heard that the other party seemed not very interested.

The same is true.

If Wang Hao initiated the research, Bill Carr would definitely be interested, but Ding Zhiqiang's thoughts... He never thought that Ding Zhiqiang was a super genius, at most he was just a talented young man.

That's all.

In the field of mathematics, there are too many outstanding young people. He himself is a super genius, or in other words, mathematicians who can win the Fields Medal were all super geniuses when they were young.

No matter how talented Ding Zhiqiang was, he couldn't catch up with when he was young.

He was really not interested in what Wang Hao said, and he was even less interested when he heard that it was Ding Zhiqiang's idea.

...

Wang Hao failed to find Birkar, but made up his mind to study with Ding Zhiqiang and Qiu Huian.

Although he is not proficient in algebraic geometry, he definitely has the foundation, but he has not conducted any special research. Ding Zhiqiang's level is definitely not bad, and it can even be said to be quite high. In addition, Qiu Hui'an can provide support in number theory , completing the research is also sufficient.

In addition, he also felt that scholars should be given opportunities.

If Bill Carr participated in the research, Ding Zhiqiang would definitely be completely covered up.

The idea itself belongs to Ding Zhiqiang. After the final results, even if Ding Zhiqiang made a great contribution and listed Birkar's name, the academic circles will definitely believe that Birkar helped complete the research.

Famous scholars will have a great oppressive effect on young scholars.

In the end, Wang Hao still made up his mind, instead of looking for other people to participate, he just studied with two students.

The three of them devoted themselves completely to the research, which can be described as forgetting to eat and sleep. Even eating was mostly done in the office.

Chen Mengmeng is Wang Hao's assistant, so she is naturally responsible for taking care of the lives of the three of them. She is also curious about the research, and asked Ding Zhiqiang in a low voice, "Are you studying the Riemann conjecture?"

"No, it is to study a correlation with Riemann's conjecture... Are you interested?" Ding Zhiqiang asked.

"Not interested in."

Chen Mengmeng quickly shook her head, "I'm just asking."

She's really not interested.

Now Chen Mengmeng's job is to serve as Wang Hao's assistant, and it is enough to do some ordinary research while holding the position of associate professor.

In fact, she is not the kind of very aggressive character, otherwise she would not go back to Xihai to study graduate school for the comfort of life.

She felt that being able to complete the basic research on "Strong Annihilation Force" with Helen was the pinnacle of her academic career.

If it is related to theoretical physics, maybe there is still a little interest. The super high difficulty and interdisciplinary, there is no interest at all, even if you join the research, it will not help you.

Chen Mengmeng picked up a piece of A4 paper, looked at the dazzling mathematical symbols on it, quickly shook her head and put it back, and patted Ding Zhiqiang's head with a light smile, "Xiao Ding, come on!"

Ding Zhiqiang ate a few mouthfuls forcefully, then nodded slightly.

Seeing Chen Mengmeng push the door and go out, he frowned and thought carefully, suddenly felt something was wrong, just now the senior sister patted his head and called 'Xiao Ding'...

Why do you feel insulted?

...

Ding Zhiqiang rarely worked so hard.

To be precise, the original efforts were all forced out, unwilling to have to do it, but now I do it from the bottom of my heart.

Before discussing the issue with Qiu Hui'an, his ideas have not been supported, but Mr. Wang Hao stood up to express his support and decided to conduct research together, and he felt that he had gained great trust.

Whenever he thinks of Qiu Hui'an who is not optimistic about him, Ding Zhiqiang also hopes that he can really research something.

As the research continued to deepen, Qiu Hui'an didn't feel very good. He had always been a participant in the research, but later found it difficult to keep up with the rhythm.

The biggest problem is that the direction of discussion is mainly on algebraic geometry and function analysis.

In this regard, he has no advantage.

So most of the time, Wang Hao discussed with Ding Zhiqiang, and he could only listen in on a few words.

Research has progressed today.

Wang Hao and Ding Zhiqiang discussed "the relationship between the red line corresponding to the complex plane and the Riemann conjecture", and talked about the "relationship between contained and contained". Ding Zhiqiang believed that the relationship is likely to appear on the corresponding "prime number point", while Wang Hao was A definite conclusion was drawn--

The complex plane corresponding to the red line contains all the non-trivial zeros of the Riemann zeta function.

If the complex plane corresponding to the red line is regarded as a set A of points, and all non-trivial zero points of the Riemann zeta function are set B, the relationship between the two is A∩B=B (intersection), that is, A puts all B included.

This discovery seems to explain the relationship between the two, but in fact, the inspiration value has only increased to '23' points, because the conclusion is obtained through system feedback, and there is no perfect proof process.

But with a definite conclusion, it is relatively easier to find the direction for the conclusion.

From the inspiration value, we can know that there is still a long way to go before completing the research. The main difficulty is that the function is difficult to analyze. In addition, the complex plane corresponding to the red line cannot be expressed by a function equation at all.

Just like Qiu Hui'an's understanding, the complex plane is the intersection of countless high-dimensional graphics. If you want to make an expression, you must connect all the high-dimensional graphics, but the number of graphics is infinite.

The next development came two days later.

This time it was Wang Hao who found the key. He found that contacting the Riemann function would make the research extremely complicated, so he simply ruled out the influence of the Riemann function, and finally came up with a new idea.

"Perhaps, all the prime number points of the minimum docking point function are on this plane?"

At first, Wang Hao was just an idea. After discussing with Ding Zhiqiang for a while, he immediately confirmed the conclusion. When it was reflected in the system tasks, the inspiration value quickly increased by '17' points.

The direction of this research is very clear.

...

Bill Carr is back at last.

After he returned to Xihai University, he came to the Mason Mathematical Science Center and asked people he knew about Wang Hao's research.

The research conducted by Wang Hao, Ding Zhiqiang, and Qiu Huian was not kept secret, but because it was purely mathematical, other people did not participate in it, and they only had a vague understanding of the research content.

"It seems to be related to the Riemann conjecture." - Zhang Zhiqiang.

"Algebraic geometry and Riemann's conjecture seem to analyze the relationship between the two? I heard Chen Mengmeng say a few words." - Luo Dayong.

"According to what Luo Dayong said, it may have something to do with Hodge's conjecture? I don't know..."--Tian Hong.

Birkar looked confused.

Qiu Hui'an was walking in the corridor when he was pulled over by several people and asked about Wang Hao's research questions.

"There's nothing to keep secret."

Qiu Hui'an explained, "It's definitely not the Riemann's conjecture, it's just a study of the correlation between a function and the Riemann's conjecture."

"This is Ding Zhiqiang's idea."

"But I always feel... Forget it." He finally shook his head and didn't say anything.

Bircar thought he understood.

"It's just a small study." He judged, "Maybe Wang Hao is giving advice to the students. Wang Hao has always hoped that Ding Zhiqiang's doctoral thesis will be better."

"It makes sense!"

"It seems so."

"should be."

Many people know that Wang Hao rejected Ding Zhiqiang's doctoral thesis, hoping that he can complete better research.

Now that Ding Zhiqiang has an idea, it is indeed normal for Wang Hao to give advice.

Birkar couldn't help sighing, "Wang Hao really thinks highly of Ding Zhiqiang, and he spends so much time and energy teaching him hand in hand."

Everyone else nodded in agreement.

Qiu Hui'an felt sour when he heard that. He is also a student of Wang Hao. He completed Legendre's conjecture at the graduate level. Why didn't he get so much attention?

Alas~~