Chapter 105

Wow~ Everyone's gaze suddenly focused on the area where Xu Qingzhou and the others were. Even those students who were lowering their heads to read looked up, their expressions stunned.

"'Annals of Mathematics'?"

"I know, it seems to be a C-journal; this is recorded in the doctoral dissertation."

"Awesome, was it said a while ago that he was working on a paper..."

There was a burst of low discussion in the classroom, and Kong Xianbo instantly became the focus of everyone.

Liang Quanjie was a bit annoyed. After knowing Kong Xianbo was working on a paper, he also tinkered for a while, but progress was slow, let alone submitting it.

Xu Qingzhou, Kong Xianbo... two big enemies.

The adjacent prime number problem is a fundamental problem in number theory, and the determination of this property relates to the construction of all number systems.

Read! {

Moreover, the review speed was faster than the "Mathematical Inventions" he submitted first.

Encountering past people and things again made Xu Qingzhou feel some emotion.

"No, I still prefer this feeling of freedom now."

Sure enough, at the beginning, Xu Qingzhou felt a bit helpless.

On the side, Zhang Qiong couldn't help but observe the two people beside her while reading.

Dorm 101 was walking out of the School of Mathematics.

Steven, Xu Qingzhou also had an impression. When he was teaching at Princeton, he met him once at a banquet. At that time, the other party had long since retired.

Xu Qingzhou was a bit surprised; the speed was too fast. For this kind of top-tier journal, even waiting three or four months or even half a year was normal. It was actually like taking a rocket.

In Zhang Qiong's resentful gaze, Xu Qingzhou sat down calmly in front of Song Yao.

When Xu Qingzhou went back, Song Yao was still burying her head in taking notes. Two tables away was Zhang Qiong.

Participating in the School of Physics project as a freshman, this young man has a bright future.

"It should be published this month." Xu Qingzhou smiled lightly, holding his computer to reply to emails, filling out copyright agreements, and agreeing to give his email to Professor Steven.

Kong Xianbo was in high spirits at this time, looking at Xu Zhengyang, and said with some emotion: "Believe me, after working hard, you will fall in love with that feeling of reaping the results."

There were still two catfish in this class.

"Average." Hearing Xu Qingzhou's praise, Kong Xianbo felt incredibly refreshed in his heart. I already said it long ago, out in the world, sooner or later, you have to pay it back.

Song Yao pursed her lips, her gaze sank, and she lowered her head to continue struggling. Xu Qingzhou was really dazzling; if she didn't catch up, she would be left behind.

Pulling up the paper downloaded a while ago in the notebook.

During this period, he had successfully proven f(p)≤g(p), and g(p)=o((logp)^a), where f(p) is the counting function related to prime p.

"Indeed awesome." Xu Qingzhou agreed. Being able to publish a core paper upon entering as a freshman, if he weren't a "cheater," he would really only have the share of looking up.

Xu Qingzhou also applauded, secretly thinking that he really held back a big one. "Annals of Mathematics" was a good journal, a C-journal, which could rank in the top ten of top math journals in Xia Nation.

"Old Xu, let's study together." Speaking of the paper, he remembered he should pay attention to the progress of the paper. Opening the email, he found an email lying inside, which was sent yesterday.

Seeing the dead atmosphere suddenly become active, Zhu Sitong nodded with satisfaction. It was just needing a catfish to make everyone feel pressure, and his gaze looked at Xu Qingzhou without a trace.

If proving the conjecture is climbing a mountain, then it can be said that he has just crossed the plain at the foot of the mountain and arrived at the foot of this mountain.

Respected Mr. Xu Qingzhou, hello! On behalf of the editorial department of 【Physics Reports】, I am very happy to inform you that your paper "Classical Description of Einstein Coefficients in Quantum Optics" has passed our strict review process and has been officially accepted for publication in our journal. The general meaning is that the paper has passed and will be published in the journal in late October.

!.

liminf（pn+1-pn）/（lnpn）^2=0n→∞ He gently turned the signature pen in his hand.

Kong Xianbo straightened his back, pushed his glasses, and smiled modestly, sighing that this feeling of being worshipped by others was simply too cool.

Opposite, after replying to the email, Xu Qingzhou invested in calculations again.

The class meeting ended in 20 minutes. After speaking, Zhu Sitong waved for everyone to disperse, while he himself rushed to another class.

n≈pn/lnpn, so lnpn≈pn/n.

After reading, Song Yao said softly: "Congratulations."

Xu Qingzhou flipped through the notebook and showed Song Yao the content of the email.

At the end of the email, it said that Professor Steven from Princeton University wanted his email address, asking if he agreed to give the email to Professor Steven.

According to the Saito conjecture or the adjacent prime gap conjecture being proven, when n tends to ∞, we can get pn+1-pn=2k, the minimum value is 2 when it is twin primes. Xu Qingzhou's gaze sank, feeling he had grasped a certain point, so... the ratio of adjacent primes is greater than 1 and less than 2, 2k+pn is 1 time pn... Xu Qingzhou started calculating again: According to the prime number theorem, there is: n≈pn/lnpn, that is, limsup（n→+∞）,

Many people had the same thoughts as Liang Quanjie, suddenly feeling pressure; there were even more excellent people in the class.

That's right, this is only the result under the condition of controlling variables. All previous calculations were variants of the Cramér conjecture, and the truly difficult part has just arrived.

"Damn, when did writing papers become so simple." Xu Zhengyang was a bit discouraged.

All of this was proven under the condition of relaxing the upper bound to c×(logp)^a.

Moreover, through checking, it can be known that the upper and lower bounds of f(p) are proportional or inversely proportional to a certain power of logp.

"Then let's talk about the paper after it's published." Xu Qingzhou shook his head in his heart. Old Kong, why do you bother to provoke me? Since that's the case, then I won't be polite.

It seems I have to be more competitive. Besides, university is not about who publishes more papers... I am still very strong! After comforting himself, he finally felt more comfortable in his heart.

Seeing Xu Qingzhou didn't speak, Kong Xianbo smiled, feeling that the journal Xu Qingzhou submitted to probably wasn't very good, so he was embarrassed to say.

"Old Kong, seriously, too awesome." Xu Zhengyang sighed and started fantasizing: "If I could get a core paper as a freshman... Hehe, the old man would probably be able to double my living expenses!"

Pausing, he looked at Xu Qingzhou and asked: "By the way, Old Xu, you were also writing a paper a while ago, how is the situation?"

Little Yao is very beautiful, even perfect, lowering her head to read. Xu Qingzhou looks fresh and clean, seems okay too.

Her gaze couldn't help but look at the manuscript on Xu Qingzhou's side, written densely, giving people a high-end feeling.

Both of them didn't speak, each doing their own things. Looking at it this way... don't say, it seems quite suitable.

Zhang Qiong sighed in her heart, shook her head, and shifted her attention to the textbook in front of her. She could only remind her of this matter; Little Yao still had to wake up herself and recognize the true face of the scumbag Xu early.

(End of chapter)