Chapter 357 (1/2)

Chapter 360

”classmate Cheng Nuo, please start your performance

Under the stage, Premier Wei indicated that Cheng Nuo could start the performance.

Cheng Nuo took a deep breath and said, ”the argument of this paper given to me by President Wei is to prove Bertrand hypothesis by using Euler product formula.”

Cheng Nuo estimated that the other three professors had not read this paper of President Wei in advance, so Cheng Nuo simply narrated the ideas elaborated by President Wei in the paper.

”And I have found the logical error that President Wei asked for.”

”Several teachers can turn to page 21 of the paper, and the series of formulas from top to bottom on the twelfth line is the logical error in this paper. President Wei, I don't know if the students are right? ” Cheng Nuo tone with a touch of confidence.

He nodded with a smile and stroked the nonexistent beard, ”the answer is right. Cheng Nuo, tell us your reason! ”

Cheng Nuo naturally agreed.

He wrote three formulas for that line on the blackboard: Πp [1-f (P)] ∑ NF (n) = 1, (2n)! (n! N!) = Πp ≤√ 2nps (P), ∑ NF (n) = Πp [1-f (P)] - 1.

Then he was silent for a few seconds. After several teachers had finished scanning, he said again, ”from the formula ③ and formula? In this paper, we can deduce the first formula from the easy topic. There is no problem with this point. The second formula can also be obtained by five operations of Theorem 5, formula 8 and formula? Through five operations. ”

”The point is, the third formula. From the process of Bertrand hypothesis, this formula should be regarded as one of the core formulas in this paper. Whether the formula is correct or not is directly related to the rationality of the whole paper. However, after my calculation, I found that the third formula is not a correct formula

In other words, the third formula cannot be derived from the formula mentioned in the previous paper. I guess that the reason why President Wei put this formula here is that he mistook the derivation and summation formula of finite product for the summation of finite products at both ends of the equation. ”

”Ha ha ha ha, great, Cheng Nuo!” President Wei couldn't help clapping.

Cheng Nuo is right.

At that time, because I was too busy, I didn't think about this problem, which led to the error of formula derivation in this step.

As a result, the whole paper became a waste of three days.

Fortunately, the director of Wei used the waste directly, and took him as a test paper for Cheng Nuo. By the way, he tested Cheng Nuo's level.

And Cheng Nuo hand over the answer paper, so far, Wei Yuan Yuan is still relatively satisfied.

Seeing that Cheng Nuo has found out the logical error he asked, he immediately asked the question he most wanted to ask, ”classmate Cheng Nuo, do you have a plan to correct this logical error?”

This is what premier Wei wants to know.

To tell you the truth, President Wei has not thought of this error correction program until now, otherwise, he will not turn his three-day painstaking efforts into a manuscript.

Cheng Nuo may surprise him.

This has nothing to do with the level of mathematics. The test is that there is an inspiration in the mind at that moment.

Facing Wei president's question, Cheng Nuo faintly smiles, ”this certainly.”

With that, Cheng Nuo turned his head and wrote on the blackboard.

”Here, we can learn from Riemann zeta function zero existence method to solve this problem.”

”First, let a function re (s) = a, then Euler product formula is given: ζ (s) | = Πp| 1-p-s - 1 ≥ Π P (1 + P-A) - 1 = exp [- ∑ PLN (1 + P-A)]

”From the above formula, we can know that for any X; 0, ln (1 + x) x, we can further deduce from the above formula: | ζ (s) | ≥ exp [- ∑ pp-a]; 0 And then this, this, that, that. It's done! ”

After speaking, Cheng Nuo confidently turns back and faces the four teachers in the defense group with a smile.

Because they didn't know the specific content of Professor Wei's paper, the three teachers including Professor Fang looked at a lot of them, so they turned their heads one by one and looked at the blackboard without moving away.

Defense classroom strange quiet for dozens of seconds.