Scholar’s Advanced Technological System

It is convenient and safe to have a car.

After a day of playing in Philadelphia and watching a movie, he completely relaxed for an afternoon after having dinner with Sister Chen, and drove back to Princeton.

Parked in a parking lot near the Institute of Higher Studies, the moody ark hummed back to the historic apartment building and stepped onto the stairs.

As he walked up to the second floor, Molina, dressed in a sweatshirt, came out of the room with a garbage bag, looking like she was about to go out for a jog.

After a glance at the ark, she greeted her in a toned tone: “Going out for a girl? ”

“I bought a car. ”

He swayed the keys to the car on his index finger, and the ark didn't talk much to her, so he turned back to his room.

After entering the studio apartment, he left his coat and car keys on the couch, went to the kitchen to make himself a cup of coffee, then sat down at his desk where he worked, ready to continue his work in the morning.

At this point, a message from Em suddenly popped up on his phone screen.

[Master, there's a new email! OVO]

Did Professor Frank send it?

Em was reminded that the Ark opened the computer and logged into the mailbox, and it turned out that there was more than one email, two of which lay inside.

One of them had been released for almost three days, probably when he was closed, and Em might have warned him again, but he just didn't notice.

Because the mailing address is a bit unfamiliar, I started by clicking on this email for fear of delaying something on the ark.

[Dear Mr. Ark, I'm Vera Puyui from Berkeley to say hello, and I have some questions about the question I discussed with you last time, and I wonder if I can take up some valuable time with you?

Pulyuy?

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

However, from the wording of the letter, the little girl is too polite, he is not a well-known professor, there is no need to be so discreet.

For half a day, the ark brain was unable to associate that weak image with the tone of speech, with a bearded polar bear with vodka hands.

Looks like the impression is still intrinsic...

Shook his head, the ark set aside these irrelevant things, went beyond the humble language and the worship of himself between the lines, and looked directly at the body.

[… In the paper presented by Professor Helfgott at the Mid-Year Meeting of the Federal Mathematical Institute, on page 3, line 11, Formula J (n) = φ (λ) · G (λ) ² · H (λ) · e | -nλ | dλ, why can the conclusion in the paper proposition (2.1) be drawn directly?

Seeing here, the canoe's eyebrows lifted slightly.

Yo, that's quite enlightening.

It turns out that IMO's golden medal is truly more mathematically gifted than the average person.

At least compared to the conceptual question she asked herself last time about closed-orbit integral and residual theorem, that question was close to the core of the circle method.

The Ark laughed and edited the email reply.

[Because we are going to use circular methods to process intervals and build several equal-distribution results, we have to pave the way for our theory. So we remember S1 (q, α) = ● e (αm ³ q), C1 (q, α) = ● e (αm ³ q ²), brought into Td (n, q) = ● S1 (q, αd ³) · | C1 (q, αd ³) | · e (-anq) q● ² (q) … then what do we get? Think for yourself.

After checking from start to finish to make sure there were no major issues, the ship clicked Send.

At the end of the email, he didn't tell Vera directly what these processes were getting, and he preferred that she find them through her own thinking.

If she intends to move in this direction of mathematics in the future, whether in the direction of mathematics or elsewhere, this process must be experienced.

Primary mathematical knowledge can be acquired through training, but higher levels of knowledge must be elevated in thinking, because no one can give a standard answer.

Served a sip of coffee and felt the bitterness scattered across the tip of his tongue, the ark suddenly realized that it seemed to have forgotten to put sugar in.

He went to the kitchen to get the sugar, and when he came back to the desk, he suddenly found out that he had received a reply.

“So soon? ”

Dropped the coffee cup and the look on the ark opened the mail unexpectedly.

Body has only one line of words.

[… Can you get the absolute convergence of the class number δd (n) = ● Td (n, q)?

Seeing this, the corner of the ark's mouth raised a smile and nodded satisfactorily.

Kids can teach!

Indeed, he is a promising student without looking away.

Though there may be little experience, the ability to understand is very fast and the intuition of numbers is quite acute.

If he was a professor at Berkeley, he certainly wouldn't mind taking her as an apprentice.

The Ark laughed and edited an email, clicking Send.

[Correct.

He received a reply less than a minute later.

Thank you.

Well, and polite.

Turning off the mail, the Ark looked at the formulas it edited at random in the document beside the desktop and was about to fork it into the trash.

However, at this moment, he suddenly shrugged, staring at the line formula and caught in contemplation.

Td (n, q) = ● S1 (q, αd ³) · | C1 (q, αd ³) | ● e (-anq) q● ² (q) …

Number of stages δd (n) = ● Td (n, q) Absolute convergence...

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

What suddenly occurred to me was that the Ark quickly opened his computer collection, flipped out the paper that Helfgott had submitted to the end of the year conference of the Federal Mathematical Institute, found the third line of 11 pages, and looked down.

The wall clock ticked and walked, unconsciously walking past the half-block.

Suddenly, the ark seemed to have figured something out, picking up the pen quickly and calculating it quickly on paper.

For the use of the circle method, Helfgott is undoubtedly the master of the analysis of the numerical theory, like Chen Jingrun in the sieve method.

Even Herfgott himself had no expectation of a round method to prove Goldbach's speculation, and the Ark did not expect to dig out the blind spots that he had neglected from under the eyes of the master.

But just as he reviewed the paper, he implicitly found a detail that he hadn't previously noticed.

Because the old man's thesis was too jumpy, many too obvious conclusions, and the ark didn't go deep. If Vera hadn't read the thesis too carefully and couldn't figure it out, he would have almost rubbed his shoulders off with this discovery.

For this unexpected surprise, the heart of the ark is thrilled.

This discovery, while not directly solving the ultimate proposition of Goldbach's conjecture, perfected his tools!

Return his group approach to Godebach's speculation...

Probably?

The swinging tip slowed down on the paper and eventually stopped.

Looking at the four pages that had already been completed, and the fifth page that could not go on, the ark lost its pen and grabbed its hair with some agitation.

The thought was interrupted.

Almost there!

The clock ticked and ticked and the night grew deeper out the window.

Because I let my mind spread and my gaze wandered around, I somehow landed on the computer screen.

At this point, the Ark suddenly noticed that it appeared that it still had an e-mail unread.

He sat up as soon as he thought of it.

In his heart he silently said to Professor Frank, excuse me, but the ark docked this e-mail that he almost forgot about.

The body of the message is short.

Short to just one line of words.

[I need to talk to you face-to-face about the 750GeV signal… when do you have time?