Chapter 403 (1/2)

Chapter 406

”unfortunately, I did prove it.”

Cheng Nuo's voice reverberates in the empty small auditorium, which makes all of us in the audience fall into a brief absence.

They seem to have heard something wonderful.

On the stage, Professor Russell's breath suddenly stagnated and looked at Cheng Nuo's upright figure. He was silent for more than ten seconds.

Then he said with a smile, ”Sir, you are joking, aren't you?”

If Cheng Nuo said that there was no definite evidence for the conclusion he had said before and only stayed at the ”guess” stage, it would prove that Cheng Nuo's brain hole was large enough.

We should know that not all conjectures can be as noble as Goldbach's conjecture and Riemann's conjecture in the field of mathematics. Moreover, the author of the conjecture is only a graduate student.

But if Cheng Nuo does have a way to prove the ”conjecture” he said, the nature will change and it will become a ”theorem”.

”Conjecture” and ”theorem” are two completely different concepts.

The practicability of ”conjecture” is poor, but the ”theorem” is different. Even if the theorem is no longer simple, its application performance is much better than ”conjecture”.

Moreover, the ”theorem” put forward by Cheng Nuo is not a bad Street product.

The common properties of Zata functions of nonsingular algebras in general sense.

It is shown that this method is not only applicable to the topological relations between the algebra and the complex family, but also applicable to the topology of finite clusters.

As a mathematician in geometry, Russell was well aware of what this theorem meant.

Geometry can make a deeper research on representation theory and Automorphism theory through homology method of topology.

At the same time, the ring mapping problem which has been puzzling Frobenius endomorphism will be solved. The motion tools for algebraic topology and algebraic geometry will be added again.

In addition, because the core of the theorem is still Zata function, the proof of Riemann's conjecture will also provide another novel idea.

In short, as long as Cheng Nuo can prove that this conclusion is a ”theorem”, it will definitely cause a storm in the field of geometry.

”Are you kidding?” Cheng Nuo shrugged and said, ”Mr. Russell, I'm not in the mood for a joke.”

Russell frowned. ”So you...”

”What a trouble.” Cheng Nuo went directly to the stage in front of the auditorium. As he walked, he said, ”forget it, I'd better prove it to you.”

With that, Cheng Nuo strides to the stage and says to young Myron, who is still in a daze, ”is there any chalk?”

”Oh, yes, yes.” Myron short-circuit for a few seconds, vaguely from the side handed Cheng Nuo a box of chalk.

In order to facilitate, the hotel has already installed blackboard on the wall of auditorium podium.

In spite of the dull eyes of Russell and more than 20 mathematicians on the stage, Cheng Nuo wrote on the blackboard:

[let X be a d-dimensional smooth projective family on FQ, then the Zata function ZX (T) is a rational function, that is, ZX (T) ∈ Q (T). More precisely, ZX (T) can be written in the form of finite alternating product:

ZX (T) = Πpi (T) ^ (- 1) ^ (I + 1) = P1 (T) P3 (T) P2d-1(T)p0(T)P2(T)…… P2D (T), where P0 (T) = 1-T and P2D (T) = 1-Q ^ DT.]

[for 1 ≤ I ≤ 2d-1, PI (T) ∈ 1 + TZ [t] is an integral coefficient polynomial, and PI (T) can be decomposed into Π (1-aijt), AIJ ∈ Z.]

[the Zata function ZX (T) satisfies the following functional equation: ZX (1q ^ DT) = ﹤ Q ^ dx2t ^ xzx (T), where  = ± 1 and X are Euler characteristic numbers of X, equivalent. If ZX (T): = ZX (T) T ^ x2 and ζ (s) = ZX (Q ^ (- s)), then 】

【…… It can be concluded from above that Zata functions on general projective nonsingular algebras have the following three properties:

①: ZX (T) is a rational function

②: satisfy the function equation

③: the zero point of ZX (T) function has a certain form.

proved! 】

Shua Shua Shua, Cheng Nuo filled all four blackboards in more than ten minutes.