Scholar’s Advanced Technological System

Having a car is really convenient and safe.

After playing for a day in Philadelphia, I also watched a movie and completely relaxed after an afternoon of Lu Zhou and Sister Chen Xue had dinner. Then I stopped and drove back to Princeton.

He parked the car in the parking lot near the Advanced Research Institute, and Lu Zhou, who was in a good mood, hummed back to the historic apartment building and stepped on the stairs.

When he walked up to the second floor, Molina, who was wearing sportswear, came out of the room with a garbage bag, and it seemed that she was going to jog.

Taking a look at Lu Zhou, she greeted her in a ridiculous tone: "Have you gone to make a girl?"

"Buy a car."

After shaking the car key on his index finger, Lu Zhou didn't talk nonsense with her, turned around and returned to his room.

After entering the single apartment, he threw his coat and car keys on the sofa, first went to the kitchen to make himself a cup of coffee, then returned to his working desk and sat down, ready to continue halfway through the morning.

Just then, a message from Xiao Ai popped up on his mobile phone screen.

[Master, there is new mail! OVO]

Did it come from Professor Frank?

Receiving Xiao Ai's reminder, Lu Zhou opened the computer and logged in to the mailbox. However, he found that there was more than one. Two emails were lying inside.

One of them had been released for almost three days, probably sent when he was in retreat. Xiao Ai might have reminded him again, but he didn't notice it.

Because the shipping address was a bit strange, Lu Zhou, who was afraid of delaying anything, opened the email first.

[Dear Mr. Lu Zhou, I am hello to Vera Puyue at Berkeley. I have some questions about the issues I discussed with you last time. I wonder if I can take up some of your precious time? 】

Pulyuy?

Although it is spelled in English, it is probably Slavs by pronunciation.

However, from the wording of the letter, the little girl was too polite, and he was not a well-known professor. In fact, it was not necessary to be so restrained.

For a long time, Lu Zhou's brain supplemented, and it was really impossible to associate the weak image and speaking tone with a polar bear with a bearded face and a vogat hand.

It seems that the inherent impression is still haunting ...

Shaking his head, Lu Zhou set aside these insignificant things, and passed the respectful words and the worship of himself between the lines, and looked directly at the body.

[... In the paper presented by Professor Helfgot at the Federal Mathematical Society's mid-year conference, the 11th line of the third page is J (n) = ∫Φ (λ) · G (λ) 2 · H (λ) · E | -nλ | dλ, why can we directly draw the conclusions in thesis proposition (2.1)? 】

Seeing here, Lu Zhou's eyebrows raised slightly.

Yo, my perception is quite high.

Sure enough, IMO's gold medal is indeed a bit more talented in mathematics than the average person.

At least compared to the conceptual question she asked her about closed-orbit integrals and residue theorems last time, this question is close to the core of the circle method.

Lu Zhou smiled and responded by editing the email.

[Because we want to process the interval using the circle method and establish several equal distribution results, we must pave the way for our theory. So we remember S1 (q, α) = ∑e (αm3 / q), C1 (q, α) = Σe (αm3 / q2), and bring it to Td (n, q) = ΣS1 (q, αd3) · | C1 (q, αd3) | · e (-an / q) / qψ2 (q) ... Then, what can we get? Think for yourself. 】

After checking from beginning to end, after confirming that there are no major problems, Lu Zhou clicked to send.

At the end of the email, he didn't directly tell Vera what these processes can get, he even hoped that she could discover through her own thinking.

If she intends to develop in the direction of mathematics in the future, whether it is to choose the direction of number theory or other directions, this process must go through.

Knowledge of elementary mathematics can be obtained through training, but higher-level knowledge must be sublimated in thinking, because no one can give a standard answer.

Taking a cup of coffee and taking a sip, feeling the bitterness from the tip of his tongue, Lu Zhou suddenly realized that he seemed to have forgotten to put sugar.

Go to the kitchen and get the sugar. When he returned to the desk again, he suddenly found that he had received a reply.

"Is it so fast?"

Putting down the coffee cup, Lu Zhou opened the mail with an unexpected expression.

The text is only one line.

[... Can you get the absolute convergence of the series δd (n) = ΣTd (n, q)? 】

Seeing this, Lu Zhou's mouth evoked a smile, and nodded with satisfaction.

Bitch can teach it too!

Sure enough, he didn't look away and was indeed a promising student.

Although there may be less experience, the ability to understand is very fast, and the intuition of numbers is quite sharp.

If he were a professor at Berkeley, he would certainly not mind accepting her as an apprentice.

Lu Zhou edited an email with a smile and clicked Send.

【correct. 】

He waited for about a minute before he received the reply.

【Thank you. 】

Well, but also very polite.

After closing the email, Lu Zhou looked at the formulas he edited in the document on the side of the desktop, and was about to fork it and drag it into the recycle bin.

However, at this moment, he suddenly uttered a flick, stared at this line of calculations, and lost his thoughts.

Td (n, q) = ∑S1 (q, αd3) · | C1 (q, αd3) | · e (-an / q) / qψ2 (q) ……

Series δd (n) = ΣTd (n, q) absolute convergence ...

From here, the circle method can be introduced to solve the proposition (2.1).

Suddenly thought of something, Lu Zhou quickly opened his computer's collection, turned over the paper that Helfgot submitted to the year-end meeting of the Federal Mathematical Society, and found the position of page 11 on the third line, and looked down. Go on.

The clock on the wall was ticking around, and unknowingly, the hour hand passed half a square.

Suddenly, Lu Zhou seemed to have figured out something, quickly picked up the pen, and quickly calculated on the paper.

For the use of the circle method ~ www.wuxiaspot.com ~ Helfgot is undoubtedly a master of analytical numerology, just like Chen Jingrun's in the sieve method.

Even Helfgot himself didn't expect the circle method to prove Goldbach's conjecture. Lu Zhou didn't expect to dig out the blind spots that he ignored.

But just as he reviewed the paper just now, he faintly found a detail that he hadn't noticed before.

Because the old man's thesis is too jumpy, and many too obvious conclusions, Lu Zhou didn't think deeper. If it wasn't for Willa who read the thesis too carefully, and he just couldn't understand it, he would almost have to Found passing by.

Lu Zhou was very excited about this unexpected surprise.

Although this discovery cannot directly solve the ultimate proposition of Goldbach's conjecture, it can perfect his tools!

Let his group formation method return to Goldbach's conjecture ...

probably?

The nib shaking quickly on the paper slowly slowed down and eventually stopped.

Looking at the four pages that had been completed, and the fifth page that could not be continued, Lu Zhou lost his pen and scratched his hair with annoyance.

Thoughts are broken.

Obviously it's so close!

The clock ticked away, and the night was getting darker.

Because of the indulgence of thoughts and the sights that moved around, somehow they fell on the computer screen.

At this time, Lu Zhou suddenly noticed that he seemed to have another e-mail unread.

The thought of this, he immediately sat up.

Silently speaking to Professor Frank in his heart, Lu Zhou opened the e-mail that he almost forgot.

The body of the message is short.

Short to one line.

[About the 750GeV signal, I need to talk to you in person ... When do you have time? 】