Chapter 336: How did you know?

Chapter 336
If the solution of the CL2 formula is not a necessary condition, then the subsequent derivation process may not be able to be further optimized...
Inspiration is like love, it comes just as it says!
Countless thoughts collided and flashed in Cheng Nuo's mind.
And what he tried hard to do was to try to grasp the flash of light.
Eisensteinseries theory? Yes, this is it!
This word suddenly appeared in Cheng Nuo's mind, and then his whole body trembled slightly because of his excitement.
What is the Eisenstein series in the holomorphic dimension 1 about the imperfect situation? Simply put, it is actually an extension of a special model with infinite series that can be written directly. The original definition is a module group.
Generally speaking, let τ be a complex number and strictly affirm the imaginary part. Define the holomorphic Eisenstein series G2k(τ) whose weight is 2k, where k≥2 is an integer and is composed of the following series:
G2k()=∑1/(m+n)^2k
This series of absolutely convergent holomorphic functions τ is in. The Fourier expansion given below the upper half plane shows that it extends to a holomorphic function, =i∞.
It sounds complicated, but the truth is... this thing is really obscure.
Cheng Nuo also learned about this knowledge systematically and comprehensively in a book discussing "Eisenstein Series in Holomorphic Dimension 1 on Impureness".
At that time, it happened that the Eisensteinseries theory and the proof of the weak BSD conjecture seemed to be in a close relationship. However, in the research of the former mathematician on the BSD conjecture, no one mentioned the relationship between the two.
However, in a prepared mind, Cheng Nuo still took this knowledge point in his mind.
Unexpectedly, there is actually some time to use it.
With inspiration, Cheng Nuo's thinking immediately spread.
"4 and G6. Especially high-order G2k can use G4 and G6 to pass the recursive relationship. Let dk=(2k+3)k! G2k+4, for example, d0=3G4 and d1=5G6. Then dk satisfies the relationship ∑(n, k)=2n+9/3n+6……

"Define q=e2πIτ, G2k()=2λ(2k)(1+……"
"...Bn is the Bernoulli number, ζ(z) is the Riemann Zeta function and σp(n) is the sum of the divisor and the function p, then, then..."
The calculation speed of the brain is not enough.
Cheng Nuo picked up a blank piece of draft paper, and formulas appeared on the paper.
In a state of extreme excitement, he had forgotten the time and exhaustion. In his eyes, only the mathematical formula that gradually pushed to the truth was left.
Tonight, for Cheng Nuo, it is definitely a sleepless night.
At the same time, in the long history of BSD conjecture research, this is also enough to be recorded in the annals of history!
…………
At six forty-five in the morning.
In the distant sky outside the window, a white belly gradually rose.
Cheng Nuo, who stayed up all night, wrote the last line of formula on the draft paper.
【……N(q)=-1-504∑n^5q^n/1-q^n】
Finally got it done!
Cheng Nuo stretched, rubbed his somewhat swollen eyes, got up and moved the stool, and poured himself a glass of water.
Professor Fang, who slept relatively lightly, was also awakened by Cheng Nuo's voice.
Professor Fang looked up, feeling the blanket draped on his back, looking at Cheng Nuo.
"Did you sleep last night?" Professor Fang asked worriedly, looking at Cheng Nuo's haggard face.
Cheng Nuo nodded.
Professor Fang frowned slightly, "I haven't slept all night, although you are still young, this is not the way to spell it! When you are old, you should pay your body debt!"
"Professor, I don't often spend the night. It doesn't matter once or twice occasionally." Cheng Nuo smiled.
Professor Fang waved his hand with a smile, "Okay, I know you still have classes in the afternoon. You will make up your sleep in the dormitory as soon as possible, and don't delay your studies because of work here."
"Understood!" Cheng Nuo got the order, walked to the hanger beside the office door and put on his coat, waved goodbye to Professor Fang, "Then Professor, I will go back to the dormitory first!"
"Yeah. Let's go." When Cheng Nuo was about to turn around and leave, Professor Fang called Cheng Nuo to stop, "By the way, you stayed up all night to study, is there any progress!"
"Yes!" Cheng Nuo nodded confidently and smiled slightly, "Not only there is progress, but there is also a lot of progress. The specifics are all on the draft papers, professor, you can take a look."
After speaking, Cheng Nuo opened the door and left.
Professor Fang sent away Cheng Nuo, picking up the four or five draft papers at Cheng Nuo's desk, and reading it.
Ten minutes, twenty minutes, thirty minutes...
For more than three hours, Professor Fang's figure had hardly moved.
Only the slightly trembling fingers showed that he was extremely restless!
Professor Fang gently put the papers he had read back on the tabletop, leaning on the back of the chair, his fingers tapping the tabletop rhythmically, his face showed an expression of exceptional relief.
"Cheng Nuo, I hope you will bring me more and more surprises in the future!"
Inside the office, Professor Fang's words sounded.
…………
In the dormitory, Cheng Nuo slept until 12 noon.
After eating the lunch that Yuan Hua brought back from the cafeteria, Cheng Nuo brushed it up.>Well, Mu Leng was completely a buddhist girlfriend. Knowing that Cheng Nuo was busy, he didn't send any messages to disturb him.
It's another girl, but she's been here frequently recently.> That is Cheng Nuo's new primary school girl, Gong Jiajia. The girl who also graduated from Qingcheng No. 2 Middle School but was one year younger than Cheng Nuo was met at the beginning of school.
Originally, Gong Jiajia admired the legendary senior Cheng Nuo very much. After entering the university, she even heard some glorious deeds about senior Cheng Nuo.
For example, I published SCI papers in my freshman year and participated in three or four topic projects.
It even raised Cheng Nuo's image in Gong Jiajia's mind.
Since Cheng Nuo often sees the dragon head but not the end, Gong Jiajia can only always be in> Cheng Nuo is also in the spirit of being helpful, and often gives advice a few times when he is okay.
Seeing new news on Gong Jiajia's WeChat icon, Cheng Nuo subconsciously clicked in. He thought it was a math problem, but he didn't expect to just ask if he was there.
Gong Jiajia: "Senior, senior, are you there?"
Cheng Nuo: "Yes."
Gong Jiajia: "Senior, do you want to see my portrait photos?"
Huh, are you so unrestrained?
Of course Cheng Nuo refused, "I don't want to see it."
Gong Jiajia: "Senior, you really don't want to see it?"
Cheng Nuo hesitated: "Huh? Then take a look."
Gong Jiajia: "Senior sister is right. Seniors are wretched men with weak willpower!"
Cheng Nuo: "..."
When did this chick have a convulsion, what is she doing? !
Five minutes later ~EbookFREE.me~Gong Jiajia: "Senior, do you want to see my portrait photos?"
Cheng Nuo: "I don't want to see it."
Gong Jiajia: "Senior, you really don't want to see it?"
Cheng Nuo: "I don't want to see it!!"
Gong Jiajia: "Huh, what the senior sister said is really good, the seniors are all gay!"
Cheng Nuo: "Wow...Wow! How did you know?"
Gong Jiajia: "..."
It was another five minutes.
Gong Jiajia: "Senior, sorry, I went to take a shower just now, and it was my roommate who was talking to you. [Poor] [Poor], but, Senior, I didn't expect you to dislike women."
Cheng Nuo: "..."