universal data

Chapter 357 Full Score
360 chapter

"Student Cheng Nuo, please start your performance!"

In the audience, Dean Wei signaled Cheng Nuo to start the performance.

Cheng Nuo took a deep breath, and said in an unhurried tone, "The argumentation idea of ​​this thesis that Dean Wei gave me is to use the Euler product formula to prove Bertrand's hypothesis."

Cheng Nuo estimated that the other three professors had not read Dean Wei's paper beforehand, so Cheng Nuo briefly explained the ideas explained by Dean Wei in the paper.

"And I have already found the logical error that Dean Wei asked to find."

"Several teachers can turn to page No. 20 of the thesis. The string of formulas on the No. 12 line from top to bottom is the logical error in this paper. Dean Wei, I don't know what the students said Right?" Cheng Nuo's tone was faintly confident.

Dean Wei smiled and nodded, stroked the non-existent beard, "The answer is correct. Cheng Nuo, tell everyone your reason!"

Cheng Nuo naturally agreed.

他在黑板上写下那一行的三个公式：Πp[1-f(p)]Σnf(n)= f(1)= 1，(2n)!/(n!n!)=Πp≤√2n ps(p)，Σnf(n)=Πp[1-f(p)]-1。

Then there was silence for a few seconds, and after the teachers in the audience had finished scanning, they spoke again, "From the formula ③ and formula ? in this paper, there is no problem in deriving the first formula from the easy topic. And The second formula can also be obtained from theorem ⑤ and formula ⑧, formula? after five calculations."

"The key is the third formula. Judging from the process of Bertrand's hypothetical thesis, this formula should be regarded as one of the core formulas of this thesis. Whether the formula is correct or not is directly related to whether the entire thesis is reasonable. But , after my calculations, I found that the third formula is not a correct formula."

"In other words, the third formula cannot be derived from the formula described in the previous paper. I speculate that the reason why Dean Wei put this formula here is probably to deduce the sum formula of the finite product It was mistaken for the addition of the sum of the finite products of both sides of the equation."

"Hahaha, amazing, student Cheng Nuo!" Dean Wei couldn't help applauding.

Cheng Nuo was right.

At that time, because I was too short of time, I didn't deliberately ponder this problem, which led to an error in the derivation of the formula in this step.

As a result, the entire paper became a free manuscript, wasting three days in vain.

Fortunately, Dean Wei directly used him as a test question for Cheng Nuo, and tested Cheng Nuo's level by the way.

As for Cheng Nuo's answer sheet, so far, Dean Wei is quite satisfied.

Seeing that Cheng Nuo had found the logical error he asked for, he couldn't wait to ask the question he wanted to ask the most, "Student Cheng Nuo, do you have a solution to correct this logical error?"

This is what Dean Wei wants to know the most.

To be honest, Dean Wei hasn't thought of this error correction plan until now, otherwise he wouldn't have turned three days of painstaking efforts into a free manuscript.

And Cheng Nuo might surprise him.

This has nothing to do with the level of mathematics. What is tested is the inspiration that exists in the mind at that moment.

Facing Dean Wei's question, Cheng Nuo smiled faintly, "Of course."

After finishing speaking, Cheng Nuo turned his head and wrote on the blackboard while talking.

"Here, we can use the zero-point existence method of Riemann's zeta function to solve this problem."

"First, we set a function Re(s)=a, then the Euler product formula is given: ζ(s)|=Πp|1-ps|-1 ≥Πp(1+pa)-1 = exp[-Σpln( 1+pa)]."

"From the above formula, we can know that for any x>0, ln(1+x)<x, so it can be further deduced from the above formula: |ζ(s)|≥ exp[-Σpp-a]> 0 ...and then do this, this, this, and that. It's done!"

After speaking, Cheng Nuo turned back confidently and faced the four teachers of the defense team with a smile.

Since they didn't know the specific content of Dean Wei's thesis at all, the three teachers, including Professor Fang, looked at it countless times, so they turned their heads one by one to look at Dean Wei, who was staring at the blackboard without moving his eyes.

The defense classroom was eerily quiet for dozens of seconds.

After a long time, Dean Wei reluctantly looked away from the blackboard.

"Wonderful, really wonderful!" Dean Wei couldn't help but slapped his thigh, looking at Cheng Nuo as if admiring a rare painting.

He sighed, "Student Cheng Nuo's idea of ​​solving the problem really amazes me!"

Cheng Nuo was modest, "So-so, so-so."

Dean Wei laughed and said that I like humble students like you, Cheng Nuo, the most.

Cheng Nuo scratched his head and said that this was really just a basic operation, not modesty.

Dean Wei choked for a moment.

The questioning session of the defense was over, and after the final concluding statement, Cheng Nuo's graduation defense was officially over.

"Classmate Cheng Nuo, you behaved very well. Go out and call the next student in!" Dean Wei said.

Cheng Nuo rubbed his hands, stood still, and said, "Dean Wei, have you forgotten something?"

Dean Wei was stunned for a while, then with a suddenly realized expression, he pointed at Cheng Nuo and cursed with a smile, "I'm not that thick-skinned yet, don't worry, when I publish this paper, I will add your name in the signature position! "

Cheng Nuo continued to rub his hands, "Dean Wei, I didn't mean this, I mean... my defense grade?"

"Oh, you brat!" Dean Wei raised his hand and scolded with a smile.

…………

Hot summer.

Cheng Nuo was sitting in the air-conditioned dormitory, happily drinking a bottle of Shenbao, feeling relaxed and happy.

The results of the graduation defense came out yesterday, and Cheng Nuo got full marks as expected.

So far, his undergraduate stage has come to an end.

Cheng Nuo also roughly planned his path after graduation.

Uh... To be precise, it was Professor Fang's arrangement for me.

…………

A day ago, the Shuyuan building.

Still in that familiar office, a routine conversation began.

The topic of discussion was about Cheng Nuo's future after graduation.

Since Cheng Nuo had chosen to continue his scientific research, there were only two choices before him.

Or, stay at home.

Or, go abroad.

After half an hour of communication between Cheng Nuo and Professor Fang, they finally decided to choose the second path—going abroad.

What Professor Fang thought was that the domestic mathematics level and atmosphere were still inferior to those abroad, so Cheng Nuo asked Cheng Nuo to take advantage of his youth to go abroad to learn advanced knowledge and return to serve the motherland.

What Cheng Nuo thought was that the domestic map could no longer accommodate him to pretend to be aggressive. After some time, he would change to another map and start the second step of becoming the king of bullying!
Pretend to be aggressive as early as possible, while you are still young, it is better to go to the big stage abroad earlier.

The vast foreign world, I, the King of Bi, are here!
(End of this chapter)