Chapter 244

Two days have passed, and in the blink of an eye, a new week has begun.

After Xu Qingzhou submitted that paper, they held a discussion meeting all day on the 12th alone, and the research institute is even busier than before.

For example, to verify his mention in the paper that entangled states can reduce classical communication volume in certain applications, it is necessary to remotely prepare pure quantum bit states to illustrate the application of quantum entanglement in remote state preparation.

This process requires Alice to perform a finite amount of classical communication to Bob, allowing Bob's state to transition from |ψabm(o)〉 to |ψab(o)〉.

In short, a lot of data needs to be re-verified, and some experiments need to be run again after debugging the parameters.

As the initiator of this matter, Xu Qingzhou has suddenly become idle; except for needing to help with a certain important calculation, his other time is free.

This is a good thing.

When he wrote this paper, he wanted to solve the problems he might encounter all at once, to avoid running to the research institute frequently.

If I look at private messages after my eyes are dirty, I'm a dog! Xu Qingzhou shivered, gritted his teeth and swore, then took a deep breath, quickly cast aside distracting thoughts, and let himself sink into the calculations in front of him.

Read! {

bavis: "Chuchu, do you still want to play?"

The private messages are still 99+; huh~ he originally wanted to swipe it away, but he noticed an account called "Qiu qiu".

June 15th, Xu Qingzhou lowered his head; in front of him was already a pile of draft paper.

Alright, through two days of calculation, he discovered a problem: the method used in this paper is indeed a bit interesting, but it simply cannot be calculated further; the prime number screening involved is too terrifying.

The possibility of proving it only exists theoretically.

【Big shot, Polignac's conjecture paper, please take a look!】

At the next table, two girls secretly glanced at Xu Qingzhou and picked up their phones to chat.

Library.

He returned from the research institute in the morning, and Song Yao called him to collect the clothes on the balcony, but at that time he seemed to be thinking about the quantum entanglement problem and forgot.

Looking at this message, Xu Qingzhou's heart jumped violently, and his expression instantly stiffened—it's over.

Among the papers Xu Qingzhou has read during this period, besides papers from formal channels, there are also people who send them to him directly via private messages on Weibo like this.

It's okay, it's okay, maybe it's just a drizzle, it won't be heavy, he comforted himself in his heart; Xu Qingzhou turned his head, and when he saw the pouring rain outside the window, his hanging heart finally died.

Next door, seeing Xu Qingzhou originally beaming with joy, but suddenly sitting upright, the expression on his face gathered together to form the word "trouble".

According to Mertens' second theorem, there is: ∑x0

Guo Ziyang and Ding Jiahui are both busy this week, and everyone is discussing taking advantage of the Dragon Boat Festival on the 20th next week to have a small gathering.

Farming Expert: "I have to say, the way he looks when he's deep in thought is so handsome!"

Farming Expert: "Forget it, idols are only suitable for viewing from afar, not for playing with."

"Hoo~"

It's still an indecent novel!

That feeling is like having sand and gold grains wrapped in sand in a desert; for the sake of the gold grains, one has to pick out the sand grain by grain.

Although he still hasn't made a start on the conjecture during this time, he has also gained something; at the very least, he has some ideas.

The most brilliant part of the derivation process of the Twin Prime Theorem is probably the sieve method and the asymptotic formula for the number of twin primes.

When he accidentally saw "him" "o" "him", he almost vomited his food.

Xu Qingzhou had a dark face, clicked a few times to close the document, and backhanded this piece of trash into the blacklist.

WeChat on the computer jumped; it was a message from Song Yao.

This paper also used his Twin Prime Theorem. Xu Qingzhou tapped lightly with his pen tip; in just a short while, he finally washed away the dirty things he saw on Weibo just now with knowledge, and began to think about how to calculate next. 【I have been researching Polignac's conjecture for many years; if possible, we can have an in-depth exchange.】

Another paper?

"Quite sincere."

bavis: "A big shot is worthy of being a big shot; look at those things on the draft paper, I would believe it if you said they were alien symbols."

There is some clue; Xu Qingzhou nodded with satisfaction, in a very good mood, even though a light drizzle had already started outside, gloomy and overcast.

Song Yao: "I asked you to collect the clothes on the windowsill, did you collect them?"

The ones published by others do not have too much substantial progress.

He intends to first refine the ideas used when exploring the distribution of prime numbers and twin primes, and based on the sieve method used when proving the Twin Prime Theorem, derive an original form of a more precise sieve method.

!.

bavis: "Isn't he your idol? I'll help you ask for his WeChat in a while?"

At first, he read two of them seriously, but later he became numb; the foreword didn't match the aftermath, the logic was chaotic, and there was nothing worth taking.

Damn, it's one thing to smuggle private goods.

Because he has time, he has also carefully read the latest research from various research institutes on Polignac's conjecture recently; the one from India is a bit more challenging.

Half an hour later, Xu Qingzhou stopped writing.

Showing his face, and by the way, accelerating the progress on the quantum satellite, the goal has been achieved.

First, use the prime counting function to represent the sum of reciprocals; up to here, an elementary method was used to obtain a conclusion closer to the Prime Number Theorem, that is, if the limit limx→∞π(x)logxx exists, then it is 1.

Must make good use of it.

Sure enough.

The moment the document was opened, he discovered something wrong; this damn thing is not the format of a paper at all.

After a long while, Xu Qingzhou put down his pen, got up to pour himself a glass of water, sat down and took his phone to browse Weibo for two minutes, a halftime break.

Xu Qingzhou exhaled, put away the draft paper on the table; this method is obviously unrealistic.

First, introduce the Mertens constant into the calculation of the sum of reciprocals of prime numbers, and then obtain a more precise expression for the Mertens constant by applying numerical analysis techniques to the Euler product of the zeta function. Although the left side of the equation diverges at 1, the second summation on the right side is actually convergent at o=0: ∑\left|\frac{1}{\sqrt{2}}log(p>xln-1n|p>x.

Although Xu Qingzhou decided not to read these papers three days ago, he thought that since it was a break anyway, he downloaded the document and clicked to open it.

Not only is there trouble, but it's big trouble!

Wait.

Farming Expert: "Pah, what are you saying."

The content is a novel.

He is using the method of the Institute of Advanced Mathematics at the Indian Imperial Institute of Technology to derive Polignac's conjecture.

The research institute is not busy, so Xu Qingzhou has put his main energy into the conjecture; his main task now is to get the conjecture done, and physics is currently just for adding color to life.

The two girls took out their phones again and started chatting.

Farming Expert: "Wow, this serious look of the big shot, is there any major discovery?"

bavis: "I saw online that he is researching Polignac's conjecture; maybe he has a new idea."

Farming Expert: "In other words, we may be witnessing history!"

(End of chapter)