Wang Hao picked up the A4 paper and stared at the standard red lines of the complex graphics on it without moving his eyes.
He really didn't expect that what Ding Zhiqiang was talking about was actually the complex plane corresponding to the real red line, and it was really related to the Riemann Hypothesis.
The professional explanation for the problem discovered by Ding Zhiqiang is
After the high-order particle function is substituted into the minimum prime number pair node, the five-dimensional algebraic geometry corresponding to the function obtained (including the imaginary number solution), a complex surface of the central sandwich, is related to the Riemann Hypothesis....
Could this finding 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.
But the problem is that the shaping process of higher-order particle functions does not use algebraic geometry methods.
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. He couldn't think of any method for a while. The only thing that was certain was that the new discovery must have great potential. What it represents needs to be carefully studied to know.
Qiu Hui'an also came over.
He noticed that Wang Hao had been staring at the A4 paper and smiled and said, Teacher Wang, don't listen to Ding Zhiqiang, what he says is unreliable."
"Before you came back, I had discussed it with him several times. The complex plane corresponding to the red line has absolutely no relationship with the Riemann Hypothesis."
"oh?"
Wang Hao thought and looked at Qiu Hui'an.
Qiu Hui'an said, "I thought what he said was possible at first, but later I discovered that this complex plane cannot be represented by a function at all, but is 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 together in series."
"It is almost impossible to express the obtained graph as an equation, unless you go through all the associated straight lines... But the problem is that there are infinitely many straight lines..."
After hearing this, 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 cannot be expressed by a single function.
He said, "Xiao Qiu, don't you think that the intersection of countless high-dimensional graphics and forming a complex plane is a magical thing in itself?"
"this......"
Qiu Hui'an hesitated for a moment and said, "It is indeed very strange, but I also know about algebraic geometry. For example, it is not surprising that multiple four-dimensional and five-dimensional complex figures intersect on a surface. This and the corresponding function
It’s related to equations.”
"Yes, you are right."
Wang Hao nodded in agreement with this sentence, and then said, "But Zhiqiang is studying higher-order particle equations, so I think it is necessary to study a brand new idea in depth."
"Even if it does have no special significance, we still have to prove it before we can draw a conclusion."
"Besides, Xiao Qiu..."
"As your teacher, I think it is necessary to say that inspiration is very important when studying this matter, even more important than ability. You are all still 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 a great discovery?"
"Forehead....."
Qiu Hui'an never expected that when he expressed his thoughts, he would be lectured by Teacher Wang Hao.
this.
He raised his head again and saw that Teacher Wang Hao looked like Ding Zhiqiang with a pleasant look, "Zhiqiang, I think your idea is very good, and it may bring new research directions."
"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 agree with his idea.
This is important.
If it were someone else, such as Qiu Hui'an, he wouldn't care at all whether he approved or not. At most, he would just debate with the other party, and no matter what, he would not be convinced. Wang Hao was different.
If Wang Hao did not agree with his idea, Ding Zhiqiang felt that he would lose confidence and would probably give up directly.
Now that he heard that Wang Hao not only recognized his idea, but also planned to study it with him, he suddenly felt very excited, "Teacher Wang, do you really think so?"
"Of course!"
Wang Hao patted Ding Zhiqiang's shoulder intimately, "Zhiqiang, your idea is great. I looked at the position represented by the red line and thought it was very different. There must be some kind of pattern in it."
"Let's study it together..."
Ding Zhiqiang immediately said, "Come and see the process of me making rough drawings... This is what I think..."
The two discussed it seriously.
Qiu Hui'an returned to his seat with depression, then looked up at Wang Hao and Ding Zhiqiang who were discussing enthusiastically, and couldn't help but feel a sense of sourness in his heart.
Also students.
Why do you feel like 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 graphics. As long as the graphics are made normally, the position of the red line must be
Mark it out.
During the discussion between Wang Hao and Ding Zhiqiang, they also gained an understanding of the complex plane corresponding to the red line.
He also thought about the key.
Ding Zhiqiang said, "The complex plane corresponding to the red line is related to the Riemann Hypothesis." So what is the correlation?
Riemann Hypothesis, 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 (critical line).
Using this terminology, the Riemann Hypothesis is expressed as—all nontrivial zeros of the Riemann zeta function are located on the critical-line.
That is, all non-trivial zero points of the Riemann zeta 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).
This chapter is not over, please click on the next page to continue reading! Although it can be determined that the two complex planes have some correlation, just like the problem encountered by Ding Zhiqiang, he did not substitute the minimum pair of node functions (high-order particle functions)
5 and 17) to analyze.
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 come up with any results.
Wang Hao simply asked Qiu Hui'an to join in. The three masters and apprentices carefully analyzed the minimum pair node function. At the same time, he also established a task -
【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: 0.] "S level difficulty..." "Not bad."
When he saw the difficulty level in the name of the research project, Wang Hao frowned slightly. He always felt that the newly found research direction was very important, and he thought it would be an 'S+' level of difficulty.
S level.....
"Perhaps it is not necessarily the difficulty that determines the outcome, but some kind of key has been found?" Wang Hao thought carefully.
This is the feeling.
Although the major mathematical research he conducted in the past mainly relied on systematic feedback and inspiration improvement, after solving so many major mathematical problems, Wang Hao's understanding of major 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 brand new research, sometimes, feeling is very important. Like Ding Zhiqiang...
Wang Hao glanced at Ding Zhiqiang, who was immersed in thinking, and couldn't help but nodded with satisfaction. He immediately settled down and continued to devote himself to the analysis of the minimum pair node function.
Ding Zhiqiang's place
There is no analysis of the minimum docking point function, mainly because of the difficulty.
This function is really too complex.
As a function similar to a partial differential equation, it is understandably difficult to analyze and convert it. Most similar functions are impossible to analyze.
If it is to perform algebraic geometry analysis through splitting, it is also very difficult to connect them together. They studied together for two days without making any progress.
During the whole process, the inspiration value brought was negligible, only a pitiful 1 point.
To be continued...