Chapter 360: Full marks

Chapter 360
"Student Cheng Nuo, please start your performance!"
In the audience, Dean Wei signaled that Cheng Nuo could start the performance.
Cheng Nuo took a deep breath and spoke in an unhurried tone. "The argumentation idea of ​​this thesis given to me by Dean Wei 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 described the ideas that Dean Wei had stated in the paper.
"And I have found the logical error that Dean Wei asked to find."
"Several teachers can turn to the twenty-first page of the thesis, and the series of formulas in the twelfth 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 said with a touch of confidence.
Dean Wei smiled and nodded, and stroked the non-existent beard, "That's right. Student Cheng Nuo, tell everyone about your reason!"
Cheng Nuo naturally agreed.
He wrote the three formulas of that line on the blackboard: Πp[1-f(p)]Σnf(n)=f(1)=1, (2n)!/(n!n!)=Πp≤√2nps (p), Σnf(n)=Πp[1-f(p)]-1.
After a few seconds of silence, after waiting for the teachers in the audience to finish scanning, they said again, "From the formula ③ and formula? in this paper, the first formula can be easily derived from the topic. There is nothing wrong with this. The second formula can also be derived from Theorem ⑤, Formula ⑧, and Formula? After five operations."
"The key is the third formula. From the perspective of Bertrand's hypothesis, this formula should be regarded as one of the core formulas of this paper. The correctness of the formula directly relates to whether the whole paper is reasonable. But After my calculations, I found that the third formula is not a correct formula."
"In other words, from the formula described in the previous paper, the third formula cannot be derived through derivation. I speculate that the reason why Dean Wei put this formula here is probably the summation formula of the finite product. It was mistaken for the sum of the finite products on both ends of the equation."
"Hahaha, amazing, student Cheng Nuo!" Dean Wei could not help applauding.
Cheng Nuo was right.
At that time, because of being too in a hurry, I did not deliberately ponder this issue, leading to an error in the formula derivation at this step.
As a result, the entire paper became a costly manuscript, which wasted three days.
Fortunately, Dean Wei used waste directly and used him as an exam question for Cheng Nuo, and by the way, he checked Cheng Nuo's level.
As for the answer sheet submitted by Cheng Nuo, as of now, Dean Wei is fairly satisfied.
Seeing that Cheng Nuo had found the logical error he requested, he immediately asked the question he most wanted to ask, "Then Cheng Nuo, do you have a plan to correct this logical error?"
This is what Dean Wei wants to know most.
To be honest, Dean Wei hasn't thought of this error correction plan until now, otherwise he wouldn't turn three days of hard work into a costly manuscript.
And Cheng Nuo might surprise him.
This has nothing to do with the level of mathematics. The test is that there is inspiration in the mind at that moment.
Facing Dean Wei's question, Cheng Nuo smiled lightly, "Of course."
After speaking, Cheng Nuo turned his head and said while writing on the blackboard.
"Here, we can use the zero-point existence method of Riemannζ function to solve this problem."
"First, we set a function Re(s)=a, then the Euler product formula is given: ζ(s)=Πp1-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)0... and then this, this, that, that, that. That's it!"
After speaking, Cheng Nuo turned back confidently and smiled to face the four defense teachers.
Because they didn't know the specific content of Dean Wei's paper at all, the three teachers, including Professor Fang, all looked at countless heads, so they turned their heads one by one and looked at Dean Wei, who was staring straight at the blackboard without removing it.
The defense classroom was strangely quiet for dozens of seconds.
After a long time, Dean Wei reluctantly turned his gaze away from the blackboard.
"Wonderful, it's really wonderful!" Dean Wei couldn't help but pat his thigh, looking at Cheng Nuo as if he admired a rare painting.
He sighed, "Student Cheng Nuo's idea of ​​breaking the question really impressed me!"
Cheng Nuo was humble, "So-so, so-so."
Dean Wei laughed and said that I like Cheng Nuo the most humble student like you.
Cheng Nuo scratched his head and said that this was really just a basic operation, not modest.
Dean Wei was choked in an instant.
After the questioning session of the defense is over, after the final summary speech, Cheng Nuo's graduation defense is officially over.
"Student Cheng Nuo, the performance is very good, 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 an expression of enlightenment, he pointed to Cheng Nuo, and said with a smile, "I'm not so cheeky yet, don't worry, when my paper is published, you will be added with your name in the place of the signature! "
Cheng Nuo continued to rub his hands, "Dean Wei, I am not referring to this, I mean... my defense results?"
"Oh, you kid!" Dean Wei raised his hand and scolded.
…………
Summer is hot.
Cheng Nuo was sitting in the air-conditioned dormitory, drinking a bottle of Kidney Treasure, and was relaxing.
The results of the graduation defense came out yesterday, and Cheng Nuo did not unexpectedly get full marks.
At this point, his undergraduate stage has come to an end.
After graduation, Cheng Nuo has also roughly planned.
Uh... To be precise, Professor Fang arranged for himself.
…………
A day ago, several courtyard buildings.
It was the familiar office ~EbookFREE.me~A usual conversation began.
The topic of discussion is about the whereabouts of Cheng Nuo after graduation.
Now that Cheng Nuo has chosen to continue the path of scientific research and further study, there are only two options before him.
Or, stay in the country.
Or, go abroad.
After a half-hour exchange between Professor Novo and Fang, they finally decided to choose the second way to go abroad.
What Professor Fang thought was that the domestic mathematics level and atmosphere were always inferior to that of foreign countries, so Cheng Nuo took advantage of his youth to go abroad to learn advanced knowledge and return to serve the motherland.
And what Cheng Nuo thought was that the domestic maps could no longer hold the force, and after a while, he changed the map and started to become the second step of the king!
Pretending to be as early as possible, while you are still young, it is good to go to the big stage abroad earlier.
In the vast world abroad, I, the king, are here!