Chapter 320

Mathematics master David Hilbert proposed 23 mathematical problems in his famous speech at the Second World Congress of Mathematicians held in Paris on August 8, 1900.

The Hilbert problem has inspired mathematicians' wisdom over the past century and guided the direction of mathematics. Its impact and promotion on the development of mathematics is huge and immeasurable.

Since the 21st century, the scientific advisory committee of the Clay Institute of Mathematics has selected seven "Millennium Prize Problems".

Although the Clay Mathematics Institute does not have the unique appeal in the mathematics community like Hilbert more than a hundred years ago, even if it proposed this "Seven Millennium Prize Problem", there are probably not many mathematicians in the world who are keen on solving it, but... they are rich!

The board of directors of the Clay Mathematics Institute decided to establish a seven-million-dollar prize fund, and each "million-dollar prize problem" can be solved to receive a one-million-dollar prize problem.

Those top mathematical tycoons may not care about this little money, but among mathematicians, there are only a few who live a wealthy life and regard money as dirt.

So... countless mathematicians regard these seven millennium mathematical problems as their lifelong pursuit. However, it has been a complete twenty years since the Millennium Prize problem raised, but the only one of the seven problems that have been truly solved is the "Poincaré Conjecture". The rest are all slow progress.

Even before the next century comes, it is still unknown whether half of these seven millennium awards can be solved.

...

The seven millennium grand prize problems are: the NP complete problem, the Hodge conjecture, the Poincaré conjecture, the Riemann hypothesis, the Young Mills existence and mass gap, the Naveer Stoke equation, and the BSD conjecture.

Obviously, the BSD conjecture mentioned by Professor Fang is naturally listed here.

In response to Professor Fang's inquiry, Cheng Nuo nodded.

As a seven-thousand-year prize issue that is so famous in the mathematics community, Cheng Nuo obviously has no reason to be unclear.

"I learned some of the BSD conjectures, and the full name is Poch and Swinnerton-Dayya conjectures."

"The conjecture is: let e is an elliptical curve defined on the algebraic number field k, e(k) is a set of rational points on e, and it is known that e(k) is a finite generation exchange group. Note that l(s, e) is the hasse-eill function of e. The conjecture says that the rank of e(k) is exactly equal to the order of zero point at s=1. And the first non-zero coefficient of the latter's taylor expansion can be accurately represented by the algebraic properties of the curve."

The bsd conjecture is a complex conjecture, which is incomparable to the conciseness and ease of understanding of the famous Goldbach conjecture in mathematics.

But in the eyes of mathematicians like Cheng Nuo, it is quite easy to understand.

Simply put, the bsd conjecture describes the connection between the arithmetic properties and analytical properties of the Abel cluster. For thousands of years, no one has turned this conjecture into a practical theorem.

"Professor, you asked me what this is?" Cheng Nuo said in confusion.

Professor Fang smiled slightly, "What if I tell you that I am participating in the proof of this conjecture?"

"What...what?!" Cheng Nuo opened his mouth wide in surprise.

Professor Fang pressed his hands down and smiled and said, "Don't be too surprised. It's not a big deal to prove that the seven major conjectures are not a big deal. If you can really prove the thousand-year problem, that would be an amazing achievement."

"What's more, what I'm doing now is not to prove the bsd conjecture in a broad sense, but to the weak bsd conjecture in the case of analyzing the rank of 1."

"The weak bsd conjecture in the case of analyzing rank is 1?" Cheng Nuo exclaimed.

"Yes." Professor Fang nodded and explained, "The BSD conjecture in a broad sense refers to the...free part volume, period of all primary positions, and sand groups with accurate equation relationships. The first half of it refers to the weak BSD conjecture."

"As early as four years ago, two mathematicians from Yingguo and Deguguo proved that the weak bsd conjecture when the analytical rank is 0, and the precise bsd conjecture is valid outside 2."

"I just started the research on this conjecture two years ago. The current progress...ah!" Speaking of this, Professor Fang raised the draft paper in his hand and smiled bitterly, "The thousand-year problem is worthy of being a thousand-year problem. Although it is just a weak conjecture in the broad conjecture, in two years, there is only one useful thing I can get. For the entire BSD conjecture proof work, I am afraid that I have not even finished one percent of the way."

After saying that, Professor Fang handed the draft paper to Cheng Nuo.

Cheng Nuo hesitated for a moment and did not take it. "Professor, this is your two years of hard work. Let me see... isn't it suitable?"

Professor Fang smiled and stuffed the draft paper into Cheng Nuo's hands, "It's not a confidential document, just take it and read it. Besides, the last thing I called you was related to this BSD conjecture."

"I want you to serve as my assistant to the weak bsd conjecture in the case of analytical rank of 1, and jointly overcome the weak bsd conjecture!"

When Cheng Nuo just took over several drafts from Professor Fang, this thunderous message rang out in his ears.

My?BSD guess?

Cheng Nuo's mind is a little dizzy now.

It's really a bit sudden.

To be honest, during the period when he obtained superpowers, Cheng Nuo also tried to use superpowers to solve world math problems, but found that his hardware equipment was really insufficient.

A rookie who has not graduated from a novice village wants to challenge the last world boss. Even if he holds a 999 dragon-slaying sword, he will have no power to fight back. So since then, Cheng Nuo has rarely thought about challenging world math problems, but has been studying and accumulating.

Originally, according to his plan, Cheng Nuo was going to try it when he graduated from undergraduate, studied for graduate school, or master's degree or doctoral degree. However, he did not expect that Professor Fang would take the initiative to invite himself to join the proof of weak BSD conjecture.

Before, Cheng Nuo had made ordinary mathematics problems, but suddenly a thousand-year mathematics problem came.

If you have too big steps, will you get the egg?

"Student Cheng Nuo, Cheng Nuo?"

It was not until Professor Fang called in Cheng Nuo a few times that Cheng Nuo's thoughts returned to reality.

"Oh, professor, you said." Cheng Nuo came back to his senses and said.

Professor Fang had a faint smile on his lips, "Student Cheng Nuo, how do you feel about my proposal?"

Cheng Nuo pondered for a few seconds, and finally nodded fiercely, "Fuck!"

"Okay." Professor Fang was also very happy, "Then take these drafts back and take a look at them, and then we will talk about the follow-up matters."

"The work of proof of world problems is not overnight, so you don't have to work hard like your previous topic. Just follow the steps step by step."

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Chapter completed!