Chapter 481

Cheng Nuo calculated from nine o'clock in the morning until more than two o'clock in the morning the next day.

During this time, he stayed in the office and did not even eat.

Because he was afraid that once he was distracted, the inspiration that he had so hard to grasp would quickly slip away.

In the institute, only the light in his office is still on.

Yawning, Cheng Nuo stretched his body and got up to make a cup of coffee.

Then he took a sip and came to admire the "great masterpiece" that he had discovered by chance.

Until now, Cheng Nuo is still in an unreal feeling.

Because, even from his critical point of view, this discovery can be called a "milestone" significance.

He promised that once the discovery was published, it would be enough to drive the world's mathematicians crazy.

And all this comes from a coincidence.

In the morning, Cheng Nuo intersected on the same remainder and infinite order curves of the Modal commutation group, and how to represent the rational points.

When he projected the infinite curves into a dotted image, he felt that it was too cumbersome to calculate, so he wondered if he could form a surface from all the infinite curves and then find a dotted image of it.

Therefore, when Cheng Nuo drew all the images of the quadratic dots of the semi-curved surface on scratch paper, he discovered an interesting phenomenon because he was extremely sensitive to numbers.

These dots, the height of which can describe the derivative of the curvilinear function.

At the same time, according to this imaginary point, the position of the rational point on the infinite order curve can be determined.

Cheng Nuo did not give up on this serendipitous discovery.

It took Cheng Nuo a whole day to perform calculations and finally determined that these imaginary points mapped by the semi-surface can be used to construct rational points on the curve of each positive integer n, and the height of these points is a factor of 3/2 of the weight in the form of a module.

The reason why Cheng Nuo calls this imaginary spot a "milestone" discovery is because of these two natures.

The construction of rational points on infinite curves has always been one of the major problems in mathematics.

Up to now, there is no simple and convenient method in mathematics to quickly find the position of rational points on any infinite curve and express it.

And the appearance of this virtual spot can easily change this status quo.

In addition, this projection dot can also represent the coefficients of the modulus form weights, which can be used in the construction of various systems.

Even a mathematician like Cheng Nuo, who has seen countless winds and waves, was extremely shocked when he saw this imaginary dot really unfold in front of his eyes.

In addition, there is rejoicing.

He didn't expect that when he overcame the BSD conjecture, he would accidentally trigger this big benefit.

Cheng Nuo temporarily named this dot Cheng's dot, then closed the computer and returned to the apartment in the hazy moonlight.

Even though he was physically tired, he tossed and turned in bed until the middle of the night before falling asleep.

............

The next day, Cheng Nuo came to the institute with dark circles under his eyes.

"Professor Cheng is early!"

"Well, early. ”

"Professor Cheng, you have to pay attention to rest, it's a good thing to fight, but don't fight hard. I contracted a disease when I was young, and it was too late to regret it when I was old!"

"Professor Zhou, thank you for the reminder, I will pay attention. ”

Greeting all the way, Cheng Nuo came to the office.

After carefully checking yesterday's derivation of "Cheng's imaginary point", and seeing that there should be no problem, he called Zhang Wei and asked him to come to his office again.

Zhang Wei was also puzzled when he hung up the phone.

He had just gone to Cheng No's office yesterday, and now he let himself go, could it be...... What are the major developments?

With great curiosity, Zhang Wei trotted to the office of the deputy director on the third floor of the Institute of Mathematics.

"Senior brother, why don't I arrange an office for you here at the research institute. It's too much trouble to run around all day. ”

Cheng Nuo first motioned for Zhang Wei to sit down, pushed over a cup of tea, and said with a smile.

Zhang Wei shook his head, "It's better not to use it for the time being, the office building of the Shuyuan Academy is not far from here, and it can be reached in a few minutes." ”

"Let's get down to business, you called me over again, did you make any new discoveries?"

"That's right. Cheng Nuo snapped his fingers, handed the printed derivation process of "Cheng's dotted dots" to Zhang Wei, and stretched out his hand to signal, "Senior brother, you take a look first." ”

Ten minutes later......

Zhang Wei looked at Cheng Nuo sweating profusely, swallowed hard, and his voice had become a little trembling because of excessive surprise, "This Cheng is imaginary...... Did you find out?"

Cheng Nuo pointed to his dark circles and said with a wry smile, "It took me all day, and I stayed up until more than three o'clock last night." ”

One...... One day?!

Well, now Zhang Wei's heart has been greatly increased by Cheng Nuo's endurance.

Regarding Cheng Nuo's demonic performance, Zhang Wei is no longer surprised.

Cheng's imaginary point, this is indeed a remarkable discovery.

Once released and let the outside world know, the shock may be weaker than when the Poincaré conjecture was announced twenty years ago.

If it was usual, Zhang Wei would have been surprised and excited for a long time, but looking at Cheng Nuo's flat expression, Zhang Wei suddenly had the illusion that this Cheng family was imaginary, and it was just like that!

Zhang Wei's surprise came and went quickly.

"So, with this Cheng dot, the second piece of the puzzle of our BSD conjecture is about to be completed?"

Cheng Nuo touched his chin and smiled, "So to speak." ”

"Then I'll start researching it right away. Zhang Wei took the pages of the proof process of "Cheng's imaginary point" and got up to leave.

Suddenly, Zhang Wei remembered something, turned his head and asked, "Regarding the discovery of Cheng's imaginary point, do you need to compile it into a paper and submit it to a mathematics journal?"

Cheng Nuo pondered for a few seconds and shook his head, "Don't do this for the time being." When we have thoroughly proved the BSD conjecture, we will attach Cheng's paper to the paper and publish it. ”

Although Cheng's virtual point is of higher academic value in other aspects, it is undeniable that it is also a sharp knife against the BSD conjecture.

If the derivation of Cheng's imaginary point is published publicly at this time, other mathematicians can use Cheng's imaginary point to prove the BSD conjecture before they do.

At that time, Cheng Nuo didn't know where to cry.

Therefore, for the sake of safety, this is not the best time to disclose the "Cheng's virtual point".

For the time being, it's better to let only a few people know about the existence of this dot.

However, with Zhang Wei's reminder, Cheng Nuo still uploaded a paper written in the clouds on arxiv, occupying a pit in advance.

Although it is unlikely that another mathematician will discover the existence of "Cheng's imaginary point" in a short period of time, if you occupy the pit in advance, it is to prevent accidents.