Wang Hao picked up the A4 paper, stared at the red line of the complex graphic standard on it, and didn't move 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, which really had something to do with the Riemann conjecture.

The professional explanation of the problems found by Ding Zhiqiang is one

After the higher-order prime function is substituted into the minimum prime pair node, the obtained five-dimensional algebraic geometry corresponding to the function (including imaginary number solution), a complex plane of the central interlayer, is related to the Riemann conjecture....

Could this discovery be a coincidence? No.

There must be some kind of inevitability.

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

The problem is that algebraic geometry is not used in the shaping of higher-order particle functions.

So, what does the new discovery mean?

Staring at the red line on the A4 paper, Wang Hao frowned and thought for a long time, and couldn't think of any way for a while, the only thing that was certain was that the new discovery must have great potential, and what it represented needed to be carefully studied.

Qiu Hui'an also walked 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."

"I had already discussed with him several times before you returned, and the complex plane corresponding to this red line could not have anything to do with the Riemann conjecture at all."

"Oh?"

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

"At first, I thought it was possible, but later I found out that this complex plane could not be represented by a function at all, but the intersection of countless high-dimensional figures."

"For example, there are a lot of straight lines in different directions, and they intersect in pairs, and then connect the points together."

"It's almost impossible to get an equation representation of the resulting graph, unless you go through all the connected lines..... The problem is that there are infinite number of straight lines......

Wang Hao nodded thoughtfully.

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

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

"This ......"

Qiu Hui'an hesitated for a moment and said, "It's really peculiar, but I also have an understanding of algebraic geometry, like multiple four-dimensional and five-dimensional complex figures, intersecting on one plane, it's not surprising, it's related to the corresponding functional equations."

"Yes, you have a point."

Wang Hao nodded in agreement, and then said, "But Zhiqiang is studying the equation of higher order particles, so I think a new idea is necessary for in-depth research."

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

"Also, Xiao Qiu.....

"As your teacher, I think it's necessary to say that when studying this thing, inspiration is very important, even more important than ability, and you are all very young, don't be limited by some preconceived ideas."

"You don't think an idea makes sense, but what if it does? Didn't you just miss a great discovery?"

"Forehead ....."

Qiu Hui'an never thought that when he said his thoughts, he was lectured by Teacher Wang Hao.

This.

When he raised his head again, he saw that Mr. Wang Hao looked at Ding Zhiqiang with a pleasant face, "Zhiqiang, I think your idea is very good, and it is likely to bring new research directions."

"So, I decided to study it with you!" "This is probably a new discovery!"

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

This is important.

If it was someone else, such as Qiu Hui'an, he didn't care if he recognized it or not, at most he would debate with the other party, no matter how he was, he would not be convinced. Wang Hao is different.

If Wang Hao didn't agree with his idea, Ding Zhiqiang felt that he would have no confidence, and it was very likely that he would give up directly.

Now hearing that Wang Hao not only recognized his idea, but was also ready to study with him, he immediately felt very excited, "Teacher Wang, do you really think so?"

"Of course!"

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

"Let's study it together......"

Ding Zhiqiang immediately said, "Come and see the process of my rough drawing..... That's what I thought......

The two discussed it earnestly.

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

The same is a student.

How do you feel like you're being treated differently?

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

During the discussion between Wang Hao and Ding Zhiqiang, they also had an understanding of the complex plane corresponding to the red line.

He also thinks about the key.

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

According to the Riemann conjecture, there is also a complex plane.

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

Using this term, the Riemann conjecture is expressed as —all nontrivial zeros of the Riemann ζ function are located on the rital-line.

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

Although it is possible to determine a certain correlation between the two complex planes, as in the case of Ding Zhiqiang, he does not analyze the minimum pair node function (the binary function equation obtained by substituting the higher-order particle function into 5 and 17).

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

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

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

[Task 4.] 】

[Project Title: Finding the Correlation Between the Intersecting Complex Plane of the Minimum Pair Nodal Function and the Riemann Conjecture (Difficulty: S.)] 】

[Inspiration value: 0.] "S-level difficulty...... "It's okay."

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

S-Class .....

"Maybe it's not necessarily the difficulty that determines the outcome, and that some kind of key has been found?" Wang Hao thought carefully.

It's the feeling.

Although the major mathematical research made in the past mainly relied on systematic feedback and inspiration, 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 level.

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

In a brand new study, there are times when feelings are very important. Like Ding Zhiqiang....

Wang Hao glanced at Ding Zhiqiang, who was thinking about it, and couldn't help but nod with satisfaction, he immediately calmed down and continued to devote himself to the analysis of the minimum pair node function.

Ding Zhiqiang's place

The lack of parsing of the minimum docking function is mainly due to the difficulty.

This function is simply too complicated.

As a function similar to a partial differential equation, the difficulty of parsing and converting it is conceivable, and most of the similar functions are impossible to parse.

If it is a split for algebraic geometry, it is very difficult to reconnect them, and they studied it together for two days, but there was no progress.

In the whole process, there are very few inspiration points to talk about, and there is only a pitiful 1" point.

Wang Hao felt that he should find an expert in algebraic geometry, and he immediately thought of Kachel-Bierkar, so he called directly.

Now Kachel-Birkar is no longer a pure scholar, relying on the in-depth study of superconducting semi-topology theory, he was hired by Superconducting Industrial Materials as a special consultant to the technical department.

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

Bilkar is about to turn 50, and with a high salary and an easy job, he goes 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 that it was Wang Hao who called, made a shushing gesture to his wife, sat up and said, "Wang Hao, long time no see, are you back to college?"

"Yes, Kachel, aren't you there?" "I'm in Asia."

"That's a great place." Wang Hao smiled and exchanged a few words with Bill Carr, and then got to the point, "I have a study related to algebraic geometry, are you interested?"

"Tell me."

"One of my students' ideas, you also know, Ding Zhiqiang, thinks that there is some correlation between the intersection complex plane of the minimum pair node function and the Riemann conjecture......

Wang Hao explained simply.

Billkar listened and thought as he spoke, and asked, "I know Ding Zhiqiang, a very good young man, is this his idea?" The complex plane is related to the Riemann hypothesis......

"Yes." "Grace ......"

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

"Okay."

Wang Hao could tell from Bilkar's tone that the other party didn't seem to be very interested.

And so it is.

If it was Wang Hao's initiation of the research, Bill Carr would definitely be interested, but Ding Zhiqiang's idea ...... 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, and he is a super genius in his own right, or in other words, a mathematician who can win a Fields Medal, he is a super genius when he is young.

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

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

Wang Hao was unable to find Bilkar, but he made up his mind to study it with Ding Zhiqiang and Qiu Hui'an.

Although he is not proficient in algebraic geometry, he must have a foundation, but he has not conducted special research, and Ding Zhiqiang's level is definitely not bad, it can even be said to be quite high, plus Qiu Hui'an can provide support in number theory, and it is enough to complete the research.

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

If Birkar was involved in the research, he would definitely completely cover up Ding Zhiqiang. The idea itself belongs to Ding Zhiqiang, and when the results are finally obtained, even if Ding Zhiqiang's contribution is great and Bilkar's name is listed, the academic community must believe that it is the research that Bilkar helped complete.

Famous scholars will have a great suppressive effect on young scholars. In the end, Wang Hao still made up his mind not to find other people to participate, but to study with two students.

The three of them are newly engaged in research, which can be described as forgetting to sleep and eating, and even most of the meals are solved 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 was also very curious about the research, and asked Ding Zhiqiang in a low voice, "Are you studying the Riemann hypothesis?"

"No, it's a correlation with the Riemann hypothesis...... Are you interested?" Ding Zhiqiang asked.

"Not interested."

Chen Mengmeng hurriedly shook her head, "I'm just asking." She really wasn't interested.

Now Chen Mengmeng's job is to serve as Wang Hao's assistant, and he can do some general research with the position of associate professor.

In fact, she is not the kind of character who is very motivated, otherwise she would not have returned to Xihai for the comfort of life.

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

If it's related to theoretical physics, maybe I'll still have a little interest, but the super difficulty plus interdislinarity will not be interesting at all, and even joining the research won't help much.

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 away, chuckled and patted Ding Zhiqiang's head with her hand, "Xiao Ding, come on!"

Ding Zhiqiang ate a few bites vigorously and nodded slightly.

Watching Chen Mengmeng push the door and walk out, he stared at his brows and thought about it carefully, and suddenly felt that something was wrong.

How do you feel insulted?

Ding Zhiqiang rarely worked so hard.

To be precise, the original efforts were forced out and reluctantly had to be done, but now they are done from the heart.

After discussing the problem with Qiu Hui'an before, his idea has not been supported, but Mr. Wang Hao stood up to express his support for him and decided to conduct research together, so he felt that he had gained great trust.

Whenever he thinks of Qiu Hui'an, who is not optimistic about himself, Ding Zhiqiang also hopes to really study something.

As the research continued to deepen, Qiu Hui'an did not feel very good, he had always been a participant in the research, and later found it difficult to keep up with the pace.

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 to a few words.

On this day, the research progressed.

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 inclusion and containment', Ding Zhiqiang believed that the relationship was likely to appear on the corresponding 'prime number point', while Wang Hao came to a definite conclusion—

The complex plane corresponding to the red line contains all the nontrivial zeros of the Riemannian ζ function.

If the complex plane corresponding to the red line is taken as a set A of points, and all the non-trivial zero points of the Riemann ζ function are set B, the relationship between the two is AnB=B (intersection), that is, A includes all B.

This finding seems to illustrate the relationship between the two, but in reality, the inspiration value is only raised to '23' points, because the conclusion is based on system feedback and there is no perfect proof process.

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

As can be seen from the inspiration values, there is still a long way to go before the research is completed, and the main difficulty is that the functions are difficult to parse, and 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 figures, and if you want to express it, you must connect all the high-dimensional figures, but the number of shapes is infinite.

The next development came two days later.

This time, Wang Hao found out the key, he found that contacting the Riemann function would make the study extremely complicated, so he simply ruled out the influence of the Riemann function, and as a result, he had a new idea.

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

Wang Hao was just an idea at first, and after discussing with Ding Zhiqiang for a while, he immediately determined the conclusion, and reflected on the system task, and the inspiration value quickly increased by '17' points.

Here's the study

The direction is clear.

Bill Karl is finally back.

After he returned to Xihai University, he came to the Mason Mathematics Science Center and inquired about Wang Hao's research with familiar people.

Wang Hao's research with Ding Zhiqiang and Qiu Huian was not kept secret, but because it was pure mathematics, no one else participated, so they only had a vague understanding of the research content.

"It seems to have something to do with the Riemann conjecture." —Zhang Zhiqiang.

"Algebraic geometry, the Riemann conjecture, seems to be an analysis of the relationship between the two? I've heard Chen Mengmeng say two things." —Luo Dayong.

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

Bilkar looked confused.

Qiu Huian was walking in the corridor, and was immediately pulled over by several people and asked Wang Hao's research questions.

"There's nothing to keep secrets."

"It's definitely not the Riemann conjecture, it's just a function to study the correlation with the Riemann conjecture."

"This is Ding Zhiqiang's idea."

"But I've always felt ...... Forget it." He finally shook his head and didn't say anything. Bill Carl thought he understood.

"It's just a little research." He judged, "It may be that Wang Hao is instructing students, and Wang Hao has always hoped that Ding Zhiqiang's doctoral dissertation can be better."

"Makes sense!" "It seems so." "It should be."

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

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

Bill Karl couldn't help but sigh, "Wang Hao really values Ding Zhiqiang, and he spends so much time and energy teaching him by hand."

Everyone else nodded in agreement.

Qiu Hui'an's heart was sour when he heard this, he was also a student of Wang Hao, and he completed the Lerangde conjecture in graduate school, why didn't he get so much attention? Alas~~