I See

The Riemann Hypothesis may seem like a simple fairy, but in reality, she is more like an elusive demon.

RH's complete proof is both straightforward and complex; in short, it reveals many mysteries surrounding the distribution of prime numbers.

How simple prime numbers are! The only people they ever love are themselves and 1.

However, this is also the difficulty: prime numbers only love themselves and 1; they do not love mathematicians.

Mathematicians, however, devoted themselves to her without complaint or regret, even though they never even held hands.

Shen Qi believes that there must be a key point for prime numbers; once you find this point and touch it, you can conquer prime numbers.

The assumption of the distribution of zeros of the Riemann Zeta function is a key point; the question is, where exactly is it hidden, and through what channels can it be accessed?

The two recurrence formulas for ζ(2n+1) have been proven by Shen Qi and Mary.

They are:

ζ(2n+1)=1/2(π/4)^2k-1sin(nπ/2)/n+...α(2k)(2k-1)!/2^2k

As well as

ζ(2n+1)=2^2n/(2n-1)!((2n-1)(2n-2)/2(π/4)^2n-3...-∫t^2k-1(ln2sint)dt)

Shen Qi and Mary made significant contributions to the complete proof of RH by combining rational multiples of π^2n-1 with the sum of two fast-converging series, theoretically providing a new tool for thoroughly proving RH.

Will having weapons allow us to defeat RH?

That's theoretically true, but it will take time.

Recently, Shen Qi has been drinking and running, and while he has had some inspiration, none of it has been related to the Riemann Hypothesis.

After all, the Riemann Hypothesis is one of the Millennium Prize Problem. Shen Qi, at level 9, would need to be several levels higher to unleash a super critical strike in order to have any chance of defeating the Riemann Hypothesis at this stage.

Columbia University, New York City.

Professor Gong Changwei of the Mathematics Department is reviewing a paper entitled "Proof of Diophantine Equation Wash Conjecture," commissioned by the editorial office of the Journal of the American Mathematical Society.

Gong Changwei is from China and is a young professor in his thirties.

Gong Changwei, who received his undergraduate degree in the Mathematics Department and his master's and doctoral degrees from Columbia University, is Shen Qi's senior. He is a number theory expert and a recipient of the Ramanujan Prize, an award given to young mathematicians and often considered a precursor to the Fields Medal.

Gong Changwei was unaware that the authors of the Proof of Diophantine Equation Wash Conjecture were his junior classmates from Yan University.

The Journal of the American Mathematical Society is a rigorous journal that uses a double-blind peer review system, where neither the authors nor the reviewers know who the other is.

Actually, it's not difficult for reviewers to find out who the authors are; they can simply search on arVix if the authors have pre-recorded the paper on arVix.

Gong Changwei hasn't been paying much attention to arVix lately; he doesn't care who the authors are, he only focuses on the papers themselves.

"This..." Gong Changwei was very surprised after reviewing the paper. "This author's line of reasoning is quite unique, exactly the same as my thinking from a few years ago!"

Unfortunately, a few years ago, Gong Changwei was halfway through proving the Wash Conjecture when his fellow student Yun Wei called him to study the Langlands Program. He spent several years on the research, and the Wash Conjecture was shelved.

"This author is amazing! He did a better job than I did a few years ago." Gong Changwei excitedly reviewed the paper three times, from morning till night. Every now and then, he would personally prove a few formulas on the draft paper, as if he were the author himself. He had rediscovered the passion he had for number theory a few years ago.

Meanwhile, at UCLA on the west coast of the United States, Professor Lavrov, Poland -American mathematician, Cole Prize winner, and one of the most authoritative experts in the field of number theory, was doing the same thing.

After reviewing the manuscript "Proof of Diophantine Equation Wash Conjecture," Professor Lavrov offered a minor suggestion: to refine the detail of "reducing to a family of Thue equation." This was a small task, similar to changing brake pads on a car—a very easy job that ensured safety.

The editorial office of the Journal of the American Mathematical Society (JMS) has assigned two nationally renowned number theory experts to review Shen Qi's paper. If both experts approve it, it means that Shen Qi's paper will be officially included in the Journal of the American Mathematical Society.

Professor Lavrov's application has basically passed the review, and Gong Changwei's application also has no issues.

The following day, Gong Changwei provided the reviewers' comments to the editorial office of the Journal of the Journal of the American Mathematical Society.

After providing his feedback, Gong Changwei logged onto arVix, a site he hadn't visited in a long time. He couldn't contain his curiosity any longer: who exactly was the author of the "Proof of Diophantine Equation Wash Conjecture"?

"Sure enough, there is this paper. The authors are Shen-Qi and Ou-Ye, from Princeton and Yenching University respectively. I knew it. The style of this paper has a strong Yenching University feel." Gong Changwei identified Ou-Ye as the person. Since the paper was in English, he didn't know how to spell Ou-Ye's Chinese name or whether he was male or female.

Further investigation revealed that Shen-Qi, also from Yenching University, is currently a graduate student in the Princeton Mathematics Department.

Gong Changwei made an overseas call to China: "Professor Sun, are you still awake?"

Sun Erxiong: "Not asleep, Changwei? What made you think of calling me?"

Gong Changwei: "I missed you... By the way, I have a question for you. Is there anyone in the Mathematics Big Mathematics Department of Yenching University with the surname Shen or Shen Qi, a two-character name, spelled like that, currently pursuing a master's degree in the Princeton Mathematics Department?"

Sun Erxiong: "Who else could it be? Shen Qi, my student."

Gong Changwei: "There's also someone surnamed Ou, with two characters, 'ou' and 'ye'. Their contact address is at Yenching University. Could they also be your student?"

Sun Erxiong: "That's right, Ou Ye is Shen Qi's girlfriend, a third-year student in the Mathematics Department at Yan University."

Gong Changwei sent a congratulatory message: "Professor Sun, the younger generation is truly surpassing the older! Congratulations! Your student is very likely to publish a paper in one of the Top Four Journals soon!"

Sun Erxiong was also excited. "Such a good thing? I can't control Shen Qi now that he's gone to America, Ou Ye actually managed to write the Fourth Great Chapter behind my back! I didn't even know about it!"

Ou Ye was completely bewildered this morning, but after Sun Erxiong explained the situation in detail, the truth finally came to light.

Her boyfriend gave her a big gift.

It is said that Shen Qi submitted his paper, "Proof of Diophantine Equation Wash Conjecture," to one of the four major international mathematics journals, and it is very likely that it will be approved and published.

As shown in the table above, Chinese Mathematician can only publish an average of one paper every ten years in top international mathematics journals such as the Journal of Mathematics.

In the last decade, this has increased; Chinese Mathematician have been able to publish a paper in one of the four major journals every two to three years.

Ou Ye sent Shen Qi a WeChat message: "You kept this from me for so long!"

Although she complained on WeChat, Ou Ye was actually grinning like an idiot in real life.

Laughing and laughing all morning, Ou Ye felt something was off. Why hadn't Shen Qi replied to her messages today? He usually replied instantly!

The Tiger Inn bar at Princeton University is in the evening, US time.

Shen Qi's phone was dead, so he was drinking with Jonas at the Tiger Inn.

He didn't know who his reviewers were, nor was he aware of the overseas phone call between his senior colleague Gong Changwei and his teacher Sun Erxiong.

The submission status on the Journal of the Journal of the American Mathematical Society's submission system is "under review".

"Jonas, do you plan to stay here until you're forty, or even fifty?" Shen Qi asked.

Jonas shook his head, somewhat bewildered. "I don't know either, let's just stay here."

Shen Qi was also puzzled. "After staying abroad for so long, don't you miss home?"

Jonas patted Shen Qi on the back. "Looks like you have something on your mind. Maybe you need some new passion."