Scholar’s Advanced Technological System

It is really convenient and safe to have a car.

After playing for a day in Philadelphia, I later watched the movie and completely relaxed the afternoon after Lu Zhou and Chen Xuejie had dinner. Then they stopped and drove back to Princeton.

I parked the car in the parking lot near the Institute of Higher Education. In a good mood, Lu Zhou took the little song back to the historic apartment building and set foot on the stairs.

When he walked up the second floor, Molina, who was wearing a sportswear, came out of the room with a garbage bag and seemed to be ready to go jogging.

Looking at Lu Zhou, she greeted her in a sigh of tone: "Going out to pick up a girl?"

"Buy the car."

Shaking the car key on the index finger, Lu Zhou did not talk nonsense with her, turned and returned to his room.

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

At this time, a message from Xiao Ai suddenly popped up on his mobile phone screen.

[Master, have new mail! Ovo

Did Professor Frank send it?

After receiving a reminder from Xiao Ai, Lu Zhou opened the computer and logged into the mailbox. The result was that it was not just one. There were two emails lying inside.

One of them has been released for three days, probably when he retired. Maybe Ai has reminded him, but he just didn't notice.

Because the mailing address is a bit strange, I am afraid that I have missed the matter, I opened the email first.

[Mr. Lu Zhou, I am asking Vera Puyue at Berkeley. I have some questions about the last time I discussed with you. I don’t know if I can take up a little precious time. 】

Pulyuy?

Although the spelling is in English, it is probably Slavs from the pronunciation.

However, from the wording of the letter, this little girl is too polite to go too far. He is not a well-known professor. In fact, there is no need to be so cautious.

Lu Zhou’s brain was filled for a long time, and it was impossible to connect the weak image and the tone of speech with a bearded, polar bear with a vulgar.

It seems that it is still an inherent impression...

Shaking his head, Lu Zhou put aside these insignificant things, crossed the words of humility and the worship of himself in the line, and looked directly at the part of the text.

[... In the paper reported by Professor Herfgott at the mid-year conference of the Federal Mathematical Society, the third page 11-line formula j(n)=∫Φ(λ)·g(λ)2·h(λ) ·e-nλdλ, why can you directly draw the conclusions in the thesis proposition (2.1)? 】

Seeing here, Lu Zhou’s eyebrows were slightly lifted.

Oh, the understanding is quite high.

Sure enough, imo's gold medal, the talent in mathematics is indeed higher than the average person.

At least compared to the conceptual question about the closed-track integral and the residue theorem that she asked herself last time, this problem is close to the core of the round method.

Lu Zhou smiled and the editor email replied.

[Because we have to deal with the interval using the round method and establish several equal distribution results, we must pave the way for our theory. So we remember s1(q,a)=∑e(am3/q), c1(q,a)=∑e(am3/q2), brought into td(n,q)=∑s1(q,ad3) · c1(q,ad3)·e(-an/q)/qψ2(q)...and then, what can we get? Think for yourself. 】

I checked it from start to finish and confirmed that there was no big problem, Lu Zhou clicked to send.

At the end of the mail, he did not directly tell Vera, what the process can get, he hopes that she can find out through her own thinking.

If she intends to move toward mathematics in the future, whether it is to choose the direction of numbers or other directions, this process must be experienced.

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

Picking up the coffee and taking a bite, feeling the bitterness scattered in the tip of the tongue, Lu Zhou suddenly realized that he seemed to forget to put sugar.

Going to the kitchen and taking the sugar, when he returned to the desk, he suddenly found that he had received a reply.

"So fast?"

Put down the coffee cup, and Lu Zhou’s expression opened the mail in some unexpected places.

The body has only one line of words.

[... can you get the absolute convergence of the series δd(n)=∑td(n,q)? 】

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

The scorpion can teach too!

Sure enough, he did not look away, it is indeed a promising student.

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

If he is a professor at Berkeley, he certainly doesn't mind accepting her as a disciple.

Lu Zhou smiled and edited an email and clicked Send.

【correct. 】

Probably not waiting for a minute, he received a reply.

【Thank you. 】

Well, but also very polite.

Turning off the mail, Lu Zhou looked at the calculations he had edited in the document on the side of the desktop, and was about to fork it into the recycle bin.

However, at this moment, he suddenly snorted and stared at this behavior, and fell into meditation.

Td(n,q)=∑s1(q,ad3)·c1(q,ad3)·e(-an/q)/qψ2(q)......

The series δd(n)=∑td(n,q) is absolutely convergent...

From here on, you can introduce the circle method and solve the proposition (2.1).

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

The wall clock on the wall ticking around, and unconsciously, the hour hand went through half a grid.

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

For the use of the round method, Helfgot is undoubtedly the master of the analytical number theory, just like Chen Jingrun's method of screening.

Even Helfgott himself did not expect the Gothbach conjecture on the round method. Lu Zhou did not expect to be able to dig out the blind spots that he ignored under the eyes of the master.

But just as I reviewed the paper just now, he found a vaguely unknown detail.

Because the old man’s paper jump is too strong, and many of the overly obvious conclusions, Lu Zhou did not think deeply. If it wasn’t for Vera’s essay to look too carefully and just couldn’t understand it, he almost Found to pass by.

For this unexpected surprise, Lu Zhou was very excited.

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

Let his group structure return to the Goldbach conjecture...

probably?

The tip of the pen that swayed on the paper slowly slowed down and finally stopped.

Looking at the four pages that had been completed in front of him, and the fifth page that could not be carried out, Lu Zhou lost his pen and grabbed his hair with some irritability.

The idea was interrupted.

It’s obviously a little bit worse!

The clock ticking away, the night outside the window gradually deepened.

The vision of moving around because of the spread of thoughts, I somehow fell on the computer screen.

At this time, Lu Zhou suddenly noticed that he still had an e-mail not read.

When he thought of it, he immediately sat up.

In the heart, silently speaking to Professor Frank, I was embarrassed, and Lu Zhou opened the e-mail that he almost forgot.

The body of the message is short.

Short to only one line of words.

[About the signal of 750gev, I need to talk to you face to face... When do you have time? 】