Chapter 360

"Cheng Nuo, please start your performance!"

Offstage, Dean Wei signaled that Cheng Nuo could start the performance.

Cheng Nuo took a deep breath and spoke in an unhurried tone, "The argument idea of this paper given to me by Dean Wei is to prove the Bertrand hypothesis by using the Euler product formula. ”

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

"And the logical error that Dean Wei asked to find, I have also found. ”

"A few teachers can turn to page 21 of the paper, and the string of formulas in the twelfth line from top to bottom is the logical error in this paper. Dean Wei, I don't know if what the student said is right?" Cheng Nuo's tone was tinged with confidence.

Dean Wei nodded with a smile and stroked the non-existent beard, "That's right." Cheng Nuo, tell everyone your reasons!"

Cheng Nuo naturally agreed.

He wrote down on the blackboard three formulas for that line: 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 several teachers in the audience had finished sweeping, he spoke again, "From the equation (3) and formula ?, there is no problem in easily deducing the first formula from the topic in this paper. The second formula can also be derived from theorem (5) and equation (8) and formula ?, which can be calculated five times. ”

"The key thing is, the third formula. Judging from the process of Bertrand's hypothesis, this formula should be regarded as one of the core formulas of this paper. Whether the formula is correct or not is directly related to whether the whole paper is reasonable. However, after my calculations, I found that the third formula is not the correct one. ”

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

"Hahaha, amazing, Cheng Nuo!" Dean Wei couldn't help but applaud.

Cheng Nuo was right.

At that time, due to being in a hurry, I didn't deliberately think about this problem, which led to the wrong derivation of this step of the formula.

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

Fortunately, Dean Wei directly used the waste and used him as an exam question for Cheng Nuo, and by the way, he tested Cheng Nuo's level.

As for the answer sheet handed over by Cheng Nuo, so far, Dean Wei is quite satisfied.

Seeing that Cheng Nuo had already found out the logical error he requested, he couldn't wait to ask the question he wanted to ask the most, "Then Cheng Nuo, do you have a plan to correct this logical error?"

This is what Dean Wei wants to know the most.

To tell the truth, Dean Wei hadn't thought of this error correction plan until now, otherwise he wouldn't have turned three days of hard work into a fee.

And Cheng Nuo may surprise him.

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

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

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

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

"First, let's let us set a function Re(s)=a, then the Euler product formula gives ζ(s)|=Πp|1-p-s|-1 ≥Πp(1+p-a)-1 = exp[-Σpln(1+p-a)]. ”

From the above formula, we can know that for any x>0, ln(1+x) 0......... And then this, and this, and that, and that, and that. That's it!"

After speaking, Cheng Nuo confidently turned around and came back with a smile to face the four teachers of the defense team.

Since they didn't know the specific content of Dean Wei's paper at all, the three teachers, including Professor Fang, all looked at the innumerable head, so they turned their heads one by one and looked at Dean Wei, who was staring at the blackboard without moving away.

There was an eerily quiet room 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 pat his thigh, looking at Cheng Nuo as if admiring a rare painting.

He sighed, "Cheng Nuo's problem-solving idea really impresses me!"

Cheng Nuo was modest, "Average, average." ”

Dean Wei laughed and said I like Cheng Nuo the most for a humble student like you.

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

Dean Wei was choked up instantly.

After the questioning session of the defense is over and the final summary statement is made, Cheng Nuo's graduation defense will be officially over.

"Cheng Nuo, you're doing well, go out and call the next classmate 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, and then with a suddenly realized expression, he pointed at Cheng Nuo and scolded with a smile, "I'm not so cheeky, don't worry, when my paper is published, I will add your name to the signature position!"

Cheng Nuo continued to rub his hands, "Dean Wei, I don't mean this, I mean...... What do I do?"

"Heh, you kid!" Dean Wei raised his hand and scolded with a smile.

............

It's a hot summer.

Cheng Nuo sat in the air-conditioned dormitory, drinking a bottle of kidney treasure beautifully, leisurely.

The results of the graduation defense came out yesterday, and Cheng Nuo unsurprisingly got a full score.

At this point, his undergraduate stage is over.

After graduation, Cheng Nuo also roughly planned the path.

Belch...... To be precise, it was Professor Fang's arrangement for himself.

............

A day ago, the building of the Academy.

It was still the familiar office, and a conversation began as usual.

The topic of discussion is about Cheng Nuo's whereabouts after graduation.

Since Cheng Nuo has chosen to continue his scientific research, there are only two choices in front of him.

Or, stay in the country.

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.

Professor Fang thought that the level and atmosphere of mathematics in China were always inferior to those in foreign countries, so Cheng Nuo took advantage of his youth to go abroad to learn advanced knowledge and come back to serve the motherland.

And Cheng Nuo thinks that the domestic map can no longer accommodate his own pretending, and when the time comes, change the map and start the second step of becoming the king of force!

Pretend to be forced as soon as possible, while you are still young, it is better to go to the big stage abroad as soon as possible.

The vast world abroad, I, the king, are coming!