""Argument that the Hardy-Ramanujan system is not applicable to the Riemann Hypothesis"? Hahaha, what a big joke. Over the past hundred years, how many mathematicians have made dazzling achievements in the Riemann Hypothesis along this direction.

Results? Are they all doing useless work?" The person who said this was Professor Gattuso, an academician of the Royal Swedish Academy of Sciences.

Professor Velasquez next to him counterattacked calmly:

"Professor Gattuso, I don't agree with your point of view. We are here to review this paper now. No matter how unconventional or incredible its title is, since the editor-in-chief Mr. Oliver can value it so much and organize us to come here to review it collectively, I think

It is necessary to read the analysis content carefully, instead of jumping up and objecting when you see the title and the introduction. This is not the cultivation and quality that a mathematician should have."

Although he and Professor Gattuso are both engaged in mathematical research at the Royal Swedish Academy of Sciences, their main field of study is number theory. Topics include Goldbach's conjecture, Riemann's conjecture, Kratz's conjecture, Polignac conjecture, twin prime conjecture, etc.

.

But one of the two is a staunch supporter of the Hardy-Ramanujan system, and the other is a staunch supporter of the Jacques Adama system. The two have always been "old enemies". This time it is a rare opportunity to see Hardy-Ramanujan.

The system was rejected in terms of the Riemann Hypothesis, and Professor Velasquez felt very comfortable.

Editor-in-chief Rovshan Oliver spoke out to persuade: "Two professors, you are both experts in number theory at the Royal Academy of Sciences, and you have been engaged in research on the Riemann Hypothesis for more than ten years, so we specially invited you and Wendell to

Professors, Professor Nathans, and Professor Coulton come over to discuss this paper together. I also ask you to discuss the matter as it is. If there are indeed problems with this paper, we will not publish it."

Because Professor Gattuso's face was too ugly, in order to promote this review meeting, Oliver did not omit the second half of the sentence "If there are no faults in the paper, we will publish it."

Professor Gattuso said unhappily: "The Hardy-Ramanujan system is so classic. In the past hundred years, how many mathematicians have invested their energy in this aspect and produced many valuable and meaningful academic results? This arrogant person from Xia Guo

Guys, you actually want to deny the status of the Hardy-Ramanujan system with a paper?"

Theo Sjöström, the editor in charge of reviewing this paper, couldn't help but said: "Professor Gattuso, this paper does not deny the Hardy-Ramanujan system, it just proposes that the Hardy-Ramanujan system is

It is impossible to crack the Riemann Hypothesis and demonstrate this..."

Professor Gattuso became furious: "The Hardy-Ramanujan system cannot solve the Riemann Hypothesis? What a joke! What qualifications does he have to comment on the Hardy-Ramanujan system? Mr. Hardy is one of the best mathematicians in Great Britain.

He is also the mentor of Hua, the founder of modern mathematics in Xia Dynasty! He actually wants to overthrow the Hardy-Ramanujan system? Arrogant and ignorant! I strongly express my strong opinion that your editorial board would actually agree to conduct a collective review of such a ridiculous paper.

Protest!"

The other three academicians who had not spoken at the scene quite understood why Professor Gattuso was so angry.

Everyone knows that Professor Gattuso's team has been studying the Riemann Hypothesis along the direction of the Hardy-Ramanujan system, and their recent major achievement is to prove that "non-trivial zero points on the critical line account for all non-trivial

"The lower limit of the proportion of zero points is at least 43.8%" is almost completed. Once successfully proven, it will be a great academic achievement known throughout the world, and may even be considered the closest research result to cracking the Riemann Hypothesis.

How could he not be furious now that he was actually asked to review a paper that wasted the efforts of his team in the past ten years?

In the eyes of Professor Gattuso, such a paper is as ridiculous as the fact that the earth is flat and the sun rotates around the earth. It is a fallacy and there is no need to open it and read it.

The three academicians fell silent for a while. In fact, they also had a deep understanding of the Hardy-Ramanujan system. They felt that it was a very rigorous and mathematically imaginative theoretical system, and they had been used to study the Riemann Hypothesis for nearly a hundred years.

It has a long history. Such a mainstream and mature system has been rejected by the Xia people. It is indeed difficult to accept it.

The editor in charge, Special Olympics, argued: "Professors, the author of this paper is Qin Ke, the miracle boy from Xia State, the top genius high school student who has won four consecutive world championships in the Science Olympiad, and is the perfect score champion... He has already been in the "Mathematics Annual"

", "Annals of Statistics" and "Communications of Theoretical and Applied Mathematics", three excellent academic journals of mathematics, have published SCI papers, which all prove his genius in mathematics. I think his papers are worthy of our

value."

He stood up, took over the control of the big screen, and pulled the paper to the most important and critical part of the argumentation process.

"To be honest, I only understood one-third of this part of the argument. Even the editor-in-chief, Mr. Oliver, couldn't judge whether it was completely correct, so I invited five of your senior experts who focus on number theory to review it.

Since you are all here, why don't you just criticize and point out the mistakes of this 'arrogant boy' and take a serious look at his argumentation process?"

Editor-in-chief Rovshan Oliver is also a great expert in mathematics, having won the Crafford Prize and the Nevinlin Prize. However, he does not specialize in number theory. At this time, he also gave advice:

"Everyone, I think this miraculous boy from Xia Kingdom does have some skills. Hank Andrew, the editor-in-chief of Annals of Mathematics, once commented on a paper of this miraculous boy and said, 'He recommended it for us.

Opening a new door, finding general solutions to nonlinear calculus equations will usher in a revolutionary liberation of thinking. Now, this guy seems to be forcefully closing a great window through this paper. I think that everyone

It is necessary to see if he has such ability!"

This chapter is not over yet, please click on the next page to continue reading! Professor Velasquez was happy to see Professor Gattuso frustrated. He was the first to smile and nod: "I agree, you're here, just take a look.

, right, Professor Gattuso?”

Professor Gattuso snorted and focused his eyes on the big screen with a cold face.

The other three professors were originally neutral. Now that they are here and what the editor-in-chief Oliver said makes sense, let's take a look at how much this world-famous miracle high school student weighs and whether he is living up to his name.

For a moment, all eyes fell on the complicated argumentation process, and the originally tense editorial office finally became quiet.

The argument process lasted for twelve pages. The editor-in-chief Teo observed the expressions of several big shots and slowly scrolled the page every once in a while. Professor Gattuso originally had a look of disdain and anger on his face, but his eyelids were unconscious as he watched.

The ground shook.

Professor Wendell, who was standing behind him, even said "Hey" and said, "Return to the previous page."

Teo immediately moved the paper back to the previous page.

While he was operating, he noticed that the five professors' expressions became serious, and Professor Gattuso's face was even a little pale.

Professor Wendell took out a small notebook and pen, calculated carefully for a while, and then said: "It's time to move to the next page."

The papers continued to be turned over. Professor Velasquez's original expression with a hint of schadenfreude and a hint of joking froze. In fact, he didn't originally believe in a high school student from Xia State - even one who was crazily pursued by countless universities and extended an olive branch.

"Miracle Boy", "Incredible Boy" - can overthrow a mature system that has been in place for nearly a hundred years.

But the more he looked at it, the more solemn his expression became, and he murmured:

"When it is known that zm=±i2πm, m=0,1,2, using the properties of the gamma function, we can get Γ(z)Γ(z 1/2)=21-2*zπ*1/2Γ(2z

), and then ζ(s)=∑n... Oh my god, how could he think of starting from this angle?" (Author's note: Γ is pronounced "gamma")

Professor Gattuso's expression was even more ugly. He gritted his teeth, clenched his fists tightly, and moved his lips several times. He wanted to say something, but could not say a word.

Time passed bit by bit, and the intern who was responsible for refilling the tea for the bosses had quietly changed the black tea several times, but the professors did not even touch the hot tea that exuded the fragrance of tea.

The hot tea slowly cooled down and was quietly replaced by the intern who didn't even dare to breathe loudly.

I don't know how much time passed, but it was getting dark outside.

The twelve-page argumentation process is neither too long nor too short. The five professors exchanged a few words in low voices from time to time, or stopped to use paper and pen to calculate and verify over and over again. They actually read it for a whole afternoon!

Finally, the large-screen interface stopped at the last page of the argumentation process.

"Fake oil!" Professor Gattuso's face turned green and white. He suddenly picked up the tea cup and smashed it to the ground.

The cup smashed and the tea splashed. Professor Gattuso cursed bitterly: "Fake oil!" Then he turned around and walked away with his sleeves flung away. He walked too fast and bumped into a table, knocking the corner of the table.

All the books inside were knocked down.

With a "crash" sound, the book fell to the ground, raising a light dust, and the messy pages looked a little embarrassed and frustrated, just like Professor Gattuso's mood at this time.

The rest of the people present did not say anything. More than ten years of hard work suddenly proved to be just useless work. No one could accept it.

But the demonstration process is right in front of us. Who here is not a top expert in number theory? But after watching it for a whole afternoon, I just can’t find any faults!

The argumentation process of this boy from Xia Guo was incredibly perfect, with no flaws!

Professor Gattuso left for a while before Professor Velasquez looked away from the paper. His face was full of shock and disbelief.

Rubbing his sore eyes, Professor Velasquez was finally the first to sigh: "My God, he really closed this great window. One of the mainstream ideas for cracking the Riemann Hypothesis, Hardy-La

The Manukin system will become history from today..."

Professor Wendell read the notes in his hand carefully again and shook his head, feeling disappointed:

"It's amazing, it's amazing, and it's terrible to be born later. This miracle boy from Xia State has really demonstrated it perfectly. Even if he can successfully prove that 'the ratio of non-trivial zero points on the critical line to all non-trivial zero points reaches 100%', it still cannot be proved.

Riemann Hypothesis, because this is only infinite versus infinity, there will be a finite number or even an infinite number of non-trivial zero points located outside the critical line. The Hardy-Ramanujan system has been stamped as 'obsolete', at least it is proving

On the Riemann Hypothesis, there is no longer any value in investing time and energy.”

The other two professors also nodded slowly and said: "His idea is very wonderful, and the real argument process is seamless. In the past hundred years, countless people have worked hard to demonstrate the proportion of non-trivial zero points on the critical line to all non-trivial zero points.

I tried my best to push it to 100%, but no one has ever been able to realize and demonstrate it so clearly and successfully - even if it reaches 100%, there will only be a dead end, and there is no way to crack the Riemann Hypothesis."

They turned to look at the editor-in-chief Oliver: "Mr. Oliver, the argumentation process of this paper is fine, but do you really plan to publish it?"

Editor-in-chief Oliver naturally understood what the professors meant. Once this paper is published, it will definitely cause a sensation all over the world, and it will also cause criticism and discussion among countless people. Hardy and Ramanujan are both great mathematicians and have countless disciples and disciples.

, and there are countless believers. At least in India, Ramanujan has become a deified mathematician. The Ramanujan Award is a world-famous mathematics award. Now that he is slapped in the face, how many people will be like Professor Gattuso?

fly into a rage?

Not to mention that countless mathematicians have invested a lot of energy in studying the Riemann Hypothesis along this system.

This chapter is not finished yet, please click on the next page to continue reading the exciting content! Once this paper from Xia Guo is published, these research results will be swept into the pile of old papers in history together with the thick draft paper.

Editor-in-Chief Oliver was silent for a while and suddenly grinned: "This is better than if they study for decades and then find that this road is blocked, isn't it?"

Professor Velasquez also laughed and applauded: "Yes, that's the truth. At least they can work hard towards the Jacques Solomon Adama system. This boy from Xia State tried his best to open a window, but still left

Down another truly great window…”

While he was talking about his research direction with some gloating and even some pride, his cell phone suddenly rang.

Professor Velasquez looked at the caller ID with a look of surprise on his face. This was the phone number of the editorial office of another top mathematics journal in the world, "Inventiones Mathematicae".

He answered the phone, and a very polite voice came from the other end: "Professor Velasquez, I'm sorry to bother you. We have a submitted paper here about the Jacques Solomon Adama System and the Riemann Hypothesis.

, I would like to ask you to be a review expert to see if the argumentation process of this paper is correct. As we all know, you are an authoritative figure in the direction of Jacques Adama system..."

For some reason, Professor Velasquez's right eyelid suddenly twitched uncontrollably, and he subconsciously asked: "What is the title of this paper?"

""Proof that Jacques Salomon Adamard's system cannot crack the Riemann Hypothesis"."

"What? Say it again?"

""Proof that Jacques Salomon Adamard's system cannot crack the Riemann Hypothesis"."

Professor Velasquez felt his mouth taste a little bitter. He took a deep breath and asked, "Who is the author of this paper? Can you please reveal it?"

"He is a talented high school student from Xia who has been very famous in the past six months. His name is Qin Ke. I don't know if you have heard of his name, Professor Velasquez. He has been in IMO, IChO, IPhO..."

Professor Velasquez didn't listen any more. His mind was buzzing, just the two angry "Fake oil"s of Professor Gattuso just now echoed over and over again.

That terrible boy from Xia Kingdom wouldn't even plan to close the window of Jacques Adama's system...

After hanging up the phone, Professor Velasquez turned back and smiled bitterly: "I hope God bless that my guess is wrong. Otherwise, the process of cracking the Riemann Hypothesis may be set back a hundred years."

…
Chapter completed!