Chapter 359

As soon as President Wei's smiled words came out, Cheng Nuo's expression changed.

A paper that argues for logical errors?

Let yourself find the mathematical language logic errors in it within half an hour?

Cheng Nuo frowned and thought about the difficulty of the test presented by Dean Wei.

However, it is difficult for him to give an accurate conclusion before reading the entire paper.

Whether it can be completed or not, even if he is as confident as he is, he will have to make a big question!

But at this moment, he did not have the option of "rejecting"!

Facing Dean Wei's smiling face, Cheng Nuo focused his head, "Okay, okay."

Dean Wei squinted his eyes and pointed to a seat in the back row of the defense classroom, "You can answer the questions there first, we will continue to interview other students who are responding to the defense."

In half an hour, of course, the four teachers could not sit here and wait for Cheng Nuo to finish his answer.

It just so happened that one or two defense graduates can be interviewed during this period.

President Wei was not worried that Cheng Nuo would use his mobile phone to search for information online.

This paper was written by him. Since it was a free manuscript, it has never been published on any platform.

As for the logical errors in this paper, it is even more impossible to know through abnormal means.

Everything can only be determined by Cheng Nuo himself.

This can also be regarded as the ultimate test of Cheng Nuo's mathematical level.

Although even though Cheng Nuo did not successfully complete the answer in the end, Dean Wei was unwilling to not send Cheng Nuo's graduation certificate, Cheng Nuo's weight in his heart would definitely be greatly reduced.

Regarding the subsequent allocation of scientific research resources, readjustments will also be made.

Cheng Nuo took Dean Wei's thick paper and came to a seat in the back row of the defense classroom.

In the drawer hole of the seat, there is a stack of draft paper and various stationery such as carbon pens.

It seems that Dean Wei had planned it for a long time!

Cheng Nuo smiled bitterly. No matter whether he knew about this trick before, he could only jump into it helplessly!

There are 34 pages in total, which is a few pages less than the papers submitted by Cheng Nuo.

The paper title and the paper proof title are exactly the same as Cheng Nuo, both of which prove the bertrand hypothesis.

The only difference is that the proof method described by Cheng Nuo is a correct, reasonable and feasible proof plan.

President Wei’s, on the other hand, is a wrong proof plan.

Hahaha!

Thinking of this way, it will be much better!

The haze in Cheng Nuo's heart that was plotted by Dean Wei was wiped out.

He moved his fingers, rubbed his face that had been a little stiff before, lowered his head and began to browse Dean Wei's paper.

He was concentrating on his mind and chewed the contents of the paper bit by bit.

Even the first four teachers communicated with the defense graduates, he didn't notice it.

Although Dean Wei's paper is the same as Cheng Nuo's graduation thesis, the specific proof steps are very different.

Cheng Nuo and Chelshev, the great mathematician of the last century, used lemma into derivation when proving the bertrand hypothesis.

But in this paper by Dean Wei, he took a different approach and adopted a completely different proof idea.

The introduction method of euler product formula!

Cheng Nuo will be named after this.

In the paper, Dean Wei introduced the concept of euler product formula from the beginning of the proof process, and then used the mathematical logical relationship between the euler product formula and the bertrand hypothesis to deduce the proposition.

What is the euler product formula?

This is one of the starting points of complex distribution proposed by mathematician German. The specific content is: For any complex s, if re(s)>1, then: Σnn-s=Πp(1-p-s)-1.

This is a very unpopular mathematical formula and is almost difficult to use in current mathematical academic research.

Unexpectedly, President Wei had a sudden idea and used it as another entry point to prove the bertrand hypothesis. As expected, he was indeed a great man in the Chinese mathematics community. However, the result did not seem to be perfect.

It took more than ten minutes to read the entire paper.

Of course, this does not mean that Cheng Nuo has finished reading the complete 34 pages of the file.

Like Cheng Nuo's graduation thesis, it is truly real, with only the five or six pages of content.

After reading it, Cheng Nuo also understood Dean Wei's proof ideas.

First, if he assumes that f(n) is the function that satisfies f(n1)f(n2)=f(n1n2), and Σnf(n)∞ (n1 and n2 are both natural numbers), then he can be successfully deduced: Σnf(n)=Πp[1+f(p)+f(p2)+f(p3)+].

After obtaining the above series of derivation theorems, it is considered that the first step of proof has been completed.

Below, since Σnf(n)∞, 1+f(p)+f(p2)+f(p3)+absolute convergence. Consider the part of pn in the continuous product (finite product)……… Using the product properties of f(n), we can get: Πpn[1+f(p)+f(p2)+f(p3)+]=Σ'f(n).

The third step, since 1+f(p)+f(p2)+f(p3)+=1+f(p)+f(p)2+f(p)3+=[1-f(p)]-1…

Step 4,...

…………

The last step is to decompose the connection into two parts: p≤√2n and √2np≤2n/3ps(p). From this, the bertrand hypothesis is proved to be valid.

Step by step, with strict logic.

The idea is clear, but it seems to be in common sense.

After reading the first time, Cheng Nuo did not find any flaws in the paper.

Cheng Nuo frowned slightly.

Sure enough, things are not that simple.

Cheng Nuo didn't have time to read it through and check it out again. He first ruled out the simple part of logical derivation in the paper and ignored it and did not read it.

If that logical error really occurs in that low-level logical derivation step, Dean Wei will never use it as Cheng Nuo's thesis defense topic.

Because that's too embarrassing.

There are five places in the paper where there are huge amount of computing and meticulous derivation steps.

Cheng Nuo checked one by one.

"In the first place, the reasoning of summing the right end of the euler product formula and ordinary finite product, first, all f(n) terms containing factor 2 at the right end of the equation are eliminated, and then..."

"The second place, the distribution of prime numbers and the two steps are accurate,..."

…………

"The fourth place, the substitution of the properties of f(n), f(2)Σnf(n)=f(2)+f(4)+f(6)+"

Suddenly, Cheng Nuo's eyes suddenly condensed when he saw this part of the content.

He stared at a line of formulas, looked left and right, and then a faint smile appeared on the corner of his mouth.

I have found you!

Cheng Nuo picked up the carbon pen, wrote and painted on the draft paper for a while, and then drew a horizontal line on the formula in the paper.

Formula on the horizontal line: Πp[1-f(p)]Σnf(n)=f(1)=1,(2n)!/(n!n!)=Πp≤√2nps(p), Σnf(n)=Πp[1-f(p)]-1

It's here, that's right.

There is a habitual error in the logical relationship between the third formula and the first two formulas.

These three formulas are also one of the core formulas in the entire paper proof process. Therefore, the error of the formula has led to the entire paper becoming a paid manuscript.

Cheng Nuo was in a very good mood at this time.

Because he not only found the logical error requested by Dean Wei, but also had already calculated a reasonable correction plan in his mind!

When I looked up, there was no one in the defense seat in front of the four teachers.

Cheng Nuo picked up the paper and walked up to the podium with his head held high.

Then, in the slightly surprised eyes of the four teachers, she smiled faintly, "Teacher, I've done it!"
Chapter completed!