Chapter three hundred and sixty full marks
Chapter 360
"Student Cheng Nuo, please start your performance!"
Off the stage, Dean Wei signaled that Cheng Nuo could start the performance.
Cheng Nuo took a deep breath and spoke in a slow tone, "The argumentation idea of this paper given to me by Dean Wei is to use the euler product formula to prove the bertrand hypothesis."
Cheng Nuo estimated that the other three professors had not read Dean Wei's paper in advance, so Cheng Nuo briefly explained the ideas that Dean Wei explained in the paper.
"I have also found the logical error that Dean Wei asked to look for."
"Several teachers can turn to the 21st page of the paper, and the formulas that count from top to bottom are the logical errors in this paper. Dean Wei, don't know if the students are right?" Cheng Nuo's tone was a slight confidence.
Dean Wei nodded with a smile and stroked the non-existent beard, "The answer is right. Student Cheng Nuo, tell everyone your reasons!"
Cheng Nuo naturally agreed.
He wrote down three formulas of that line on the blackboard: Πp[1-f(p)]Σnf(n)= f(1)= 1,(2n)!/(n!n!)=Πp≤√2n ps(p),Σnf(n)=Πp[1-f(p)]-1.
Then he was silent for a few seconds. After the teachers in the audience finished scanning, he spoke again, "From the formula 3 and formula in this paper, there is no problem with this. The second formula can also be obtained from the Theorem 5 and 8 and formula ? after five operations."
"The key is that the third formula. Judging from the paper process of the subsequent bertrand hypothesis, this formula should be regarded as one of the core formulas of this paper. Whether the formula is correct or not directly related to whether the entire paper is reasonable. However, after my calculations, I found that the third formula is not a correct formula."
"Or the third formula cannot be obtained through derivation from the formula described in the previous paper. I speculate that the reason why President Wei put this formula here is probably because he mistakenly thought that the derivation sum formula of the finite product is the addition of the sum of the finite product at both ends of the equation."
"Hahaha, it's amazing, classmate Cheng Nuo!" Dean Wei couldn't help but applaud.
Cheng Nuo is right.
At that time, because I was too rush, I did not think about this problem specifically, which led to the incorrect derivation of this formula.
As a result, the entire paper became a paid manuscript, wasting three days in vain.
Fortunately, Dean Wei directly used the waste and regarded him as the test question for Cheng Nuo, and tested Cheng Nuo's level by the way.
As of now, President Wei is quite satisfied with the answer submitted by Cheng Nuo.
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 President Wei wants to know the most.
To be honest, President Wei hasn't thought of this error correction plan yet, otherwise he would not have turned his three-day effort into a paid manuscript.
And Cheng Nuo may surprise him.
This has nothing to do with math level. What tests is that there is inspiration in my mind at that moment.
Facing Dean Wei's question, Cheng Nuo smiled faintly, "Of course."
After saying that, Cheng Nuo turned his head and wrote and said while writing on the blackboard.
"Here, we can use the riemann ζ function zero-point existence method to solve this problem."
"First, let us assume a function re(s)=a, and the euler product formula is given: 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)<x, so from the above formula, we can further deduce: |ζ(s)|≥ exp[-Σpp-a]> 0………and then this, this, that, that, that. It's done!"
After finishing his speech, Cheng Nuo turned around confidently and faced the four defense teachers with a smile.
Since he had no idea about the specific content of Dean Wei's paper, the three teachers, including Professor Fang, were looking countless, so they turned their heads one by one and looked at Dean Wei who was staring straight at the blackboard without moving away.
The defense classroom was strangely quiet for dozens of seconds.
After a long time, Dean Wei reluctantly turned his gaze away from the blackboard.
"It's amazing, it's really wonderful!" President Wei couldn't help but slapped his thighs, and his eyes looked at Cheng Nuo as if he was admiring a rare painting.
He sighed, "I am really amazed by the idea of solving the problem!"
Cheng Nuo was modest, "Average, average."
Dean Wei laughed and said that I like humble students like Cheng Nuo the most.
Cheng Nuo scratched his head and said that this was really just a basic operation, not a modest one.
Dean Wei was choked 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.
"Student Cheng Nuo, he performed very well. Go out and call the next student in!" Dean Wei spoke.
Cheng Nuo rubbed his hands, stood still, and said, "Director Wei, have you forgotten something?"
President Wei was stunned for a while, then suddenly realized his expression, pointed at Cheng Nuo, and cursed, "I'm not that shameless yet, don't worry, when I publish this paper, I will add you a name to the signature position!"
Cheng Nuo continued to rub his hands, "Director Wei, I am not referring to this, I mean...my defense results?"
"Ha, you boy!" Dean Wei raised his hand and scolded.
…………
The summer is hot.
Cheng Nuo sat in the dormitory equipped with air conditioning, drinking a bottle of kidney treasure happily, leisurely and comfortable.
The graduation defense results were released yesterday, and Cheng Nuo unexpectedly got full marks.
At this point, his undergraduate stage has come to an end.
Cheng Nuo also made a general plan for the road after graduation.
Uh... to be precise, it was the arrangements Professor Fang gave him.
…………
A day ago, the Mathematical Institute Building.
It was still the familiar office, and a conversation began as usual.
The topic I talked about is about where Cheng Nuo will go after graduation.
Since Cheng Nuo has chosen to continue his scientific research and further study, there are only two choices before him.
Or, stay in the country.
Or, go abroad.
After half an hour of communication between Professor No and Professor Fang, they finally decided to choose the second path - going abroad.
Professor Fang thought that the math level and atmosphere in China were always inferior to those in foreign countries, so that Cheng Nuo would take advantage of his youth to learn advanced knowledge abroad and come back to serve his motherland.
Cheng Nuo thought that the domestic map could no longer accommodate his own show-offs. After that, change the map and start the second step to become the king of force himself!
Pretend to show off as early as possible, while you are still young, it is also good to go to the big stage abroad as soon as possible.
The vast world abroad, I, forcing the king, are here!
Chapter completed!