I really just want to be a scholar

Chapter 355 The cracking process of the Riemann conjecture may have to go back 100 years
""Argument about the Hardy-Ramanujan System Not Applicable to the Riemann Conjecture"? Hahaha, what a big joke, over the past hundred years, how many mathematicians have made dazzling achievements in the Riemann conjecture along this direction Are they all doing useless work?" Professor Gattuso, an academician of the Royal Swedish Academy of Sciences, said this.

Professor Velasquez next to him countered calmly:
"Professor Gattuso, I don't agree with your point of view. We are here to review this paper, no matter how unconventional or incredible its title is, but since the editor-in-chief, Mr. Oliver, is so important and organizes us to review it collectively, I think It is necessary to carefully read the content of the analysis, instead of jumping up and objecting when you see the title and the overview of the foreword, this is not the accomplishment and quality that a mathematician should have."

Although both he and Professor Gattuso are engaged in mathematics research at the Royal Swedish Academy of Sciences, their main research direction is also number theory. Topics include Goldbach’s conjecture, Riemann’s conjecture, Kratz’s conjecture, Poligniac’s conjecture, twin prime conjecture, etc. .

But one of the two is a firm supporter of the Hardy-Ramanujan system, and the other is a firm 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 Riemann's conjecture, and Professor Velasquez was still very comfortable.

The editor-in-chief Rovshan Oliver persuaded: "Both professors, you are both experts in number theory in the Royal Academy of Sciences, and you have been engaged in the research of Riemann's conjecture for more than ten years, so we specially invited you and Wendell Professors, Professor Nathans, and Professor Coulton came over to discuss this paper together, and please discuss the facts, if there is indeed a problem with this paper, we will not accept 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 the paper can't find any faults, 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 energy in this area and produced many valuable and meaningful academic achievements? This arrogance from Xia Guo Guy, you actually want to deny the status of the Hardy-Ramanujan system with a paper?"

Theo Sjostrom, the editor in charge of arraigning this paper, couldn't help saying: "Professor Gattuso, this paper does not deny the Hardy-Ramanujan system, but only proposes that the Hardy-Ramanujan system is Unable to decipher the Riemann Hypothesis and demonstrate it..."

Professor Gattuso was furious: "The Hardy-Ramanujan system cannot solve the Riemann conjecture? 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 Kingdom! He actually wants to overthrow the Hardy-Ramanujan system? Arrogance and ignorance! I am so sorry that your editorial department would agree to conduct a collective review of such absurd papers. Strong protest!"

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

Everyone knows that Professor Gattuso's team has been studying the Riemann conjecture in the direction of the Hardy-Ramanujan system, and one of their recent major achievements - proving that "the non-trivial zeros on the critical line account for all the non-trivial The lower limit of the ratio of zero points is at least 43.8%" is about to be completed. Once successfully proved, it will be a great academic achievement known to the world, and it will even be considered the closest research achievement to cracking the Riemann Hypothesis.

How could he not be furious now that he had to review a paper that wasted the hard work of his team in the past ten years?
In the eyes of Professor Gattuso, such a thesis is as ridiculous as the earth is square and the sun revolves around the earth. It is a fallacy, and there is no need to open it to read it.

For a while, the three academicians fell into silence. 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. It has been used to study the Riemann Hypothesis for nearly a hundred years. History has passed, and such a mainstream and mature system has been denied by the people of Xia, which is indeed a bit unacceptable.

The editor-in-charge, Special Olympics, said: "Professors, the author of this paper is Qin Ke, a miracle boy from Xia Kingdom, the top talented high school student who has won four consecutive science olympiad world championships, and is the champion with a perfect score... He has been published in the "Mathematics Annual" ", "Annual Journal of Statistics" and "Theoretical and Applied Mathematics Letters", these three very good mathematical academic journals have published SCI papers, which have proved his genius in mathematics. I think his papers are worthy of us valued."

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

"To be honest, I only understand one-third of this part of the argumentation process. Even Mr. Oliver, the editor-in-chief, can't judge whether it is completely correct, so I invited five of you senior experts who specialize in number theory to review it. Since you are all here, why don't you point out the mistakes of this 'arrogant boy' and take a serious look at his argument process?"

The editor-in-chief, Rovshan Oliver, is also a great expert in mathematics. He has won the Crawford Award and the Nevanliner Award, but he does not specialize in the direction of number theory. At this time, he also persuaded:

"Everyone, I think this miracle boy of Xiaguo really has some knowledge. Hank Andrew, the editor-in-chief of "Annals of Mathematics", once commented on a paper by this miracle boy, saying, 'He recommended for us Opening a brand new door, finding general solutions of nonlinear calculus equations will usher in a revolutionary mind liberation'. Now, this kid seems to be closing a great window forcefully through this paper. I think, everyone It is necessary to see if he has such ability!"

Professor Velasquez was happy to see Professor Gattuso deflated. He was the first to nod with a smile and said, "I agree, it's all here, just take a look, right, Professor Gattuso?"

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

The other three professors were originally neutral. Now that they are here, and the editor-in-chief Oliver is right, let's take a look at how much this world-famous Miracle High School student weighs.

For a moment, all eyes fell on the complicated argumentation process, and the originally tense editorial department finally calmed down.

There were twelve pages in the argumentation process. The editor-in-charge, Special Olympics, watched the looks of several big shots, and slowly scrolled the page every once in a while.Professor Gattuso looked at him with disdain and anger on his face, and his eyelids trembled unconsciously.

And Professor Wendell, who was standing behind him, said "Hey" and said, "Go back to the previous page."

Teo acted immediately and turned the paper back to the previous page.

While operating, he noticed that the expressions of the five professors 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: "You can go to the next page."

The thesis continued to flip through, and Professor Velasquez froze with a hint of schadenfreude and a hint of joking. In fact, he didn't believe a high school student from the Xia Kingdom—even the so-called "Wonder Kid", "Wonder Kid"-can overthrow a mature system that has been around for nearly a century.

But the more he looked at it, the more solemn his face became, and he murmured:
"When it is known that zm=±i2πm, m=0, 1, 2, using the properties of the gamma function, it is obtained that Γ(z)Γ(z+1/2)=21-2*zπ*1/2Γ( 2z), and then there is ζ(s)=∑n+...God, how could he think of starting from this angle?" (Author's Note: Γ is pronounced as "Gamma")
Professor Gattuso's face was even more ugly. He gritted his teeth, clenched his fists tightly, and moved his lips several times. He wanted to say something, but he couldn't say a word.

Time passed by bit by bit, and the interns responsible for refilling the tea for the bosses had quietly changed the black tea a few times, but the professors didn't even touch the hot tea that exudes the fragrance of tea.

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

I don't know how long it took, but it was already dark outside.

The [-]-page argument process is not long or short, and the five professors exchanged a few words in a low voice from time to time, or stopped to take a pen and paper to calculate and verify repeatedly, and actually read it for a whole afternoon!
Finally, the interface of the large screen stopped at the last page of the demonstration process.

"Fake oil!" Professor Gattuso's face was green and pale. He suddenly picked up the teacup and slammed it down on the ground.

The cup shattered and the tea splashed, and Professor Gattuso cursed bitterly: "Fake oil!" Then he turned and walked away with his sleeves thrown. He walked too fast and bumped into a table, knocking the corner of the table. All the books were knocked down.

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

The rest of the people present didn't speak, and the painstaking efforts of more than ten years suddenly proved to be useless, and no one could accept it.

But the proof process is right in front of us, which one here is not a top expert in number theory?But after looking at it for a whole afternoon, I just couldn't pick out the thorn!
The argumentation process of this Xia Guo kid was unbelievably perfect, without any 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 sour eyes, Professor Velasquez was finally the first to sigh: "My God, he really closed this great window. One of the mainstream cracking ideas of Riemann's conjecture, Hardy-La The Manukin system will become history from today..."

Professor Wendell carefully read the notes in his hand again, and shook his head, feeling lost:
"It's amazing, it's amazing, what a formidable future generation. This Miracle Boy of Xia Kingdom has really demonstrated it perfectly. Even if he can successfully prove that 'the non-trivial zeros on the critical line account for 100% of all non-trivial zeros', it still cannot be proved. Riemann's conjecture, because this is only infinite to infinite, there will be a finite number or even an infinite number of non-trivial zeros located outside the critical line. The Hardy-Ramanujan system has been stamped as 'outdated', at least in proving On Riemann's conjecture, there is no longer any value in investing time and energy."

The other two professors also nodded slowly: "His thinking is very wonderful, and the real demonstration 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 demonstrate so clearly, consciously and successfully—even if it reaches 100%, there will only be a dead end, and the Riemann Hypothesis cannot be solved at all.”

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

The editor-in-chief Oliver naturally understands what the professors mean. Once this paper is published, it will definitely cause a sensation all over the world, and it will also arouse criticism and discussion from countless people. The Hardy-Ramanujan system has countless disciples, and even more believers. , at least in India, Ramanujan has become a deified mathematician, and the Ramanujan Award is a world-renowned mathematics award. Now that he is beaten in the face, how many people will be as furious as Professor Gattuso?
Not to mention that countless mathematicians have devoted a lot of energy to study the Riemann conjecture along this system.

Once this paper from Xia Guo is published, these research results will be swept into the pile of old papers of history together with the thick draft paper.

Oliver, the editor-in-chief, was silent for a while, and then suddenly grinned: "It's better than when they study for decades and then find that this way doesn't work, isn't it?"

Professor Velasquez also laughed, and applauded: "That's right, that's the reason. At least they can work hard towards the Jacques Solomon Adama system. This Xiaguo kid tried his best to hand in a window, but he still left Down another truly great window..."

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

Professor Velázquez looked at the caller ID with a look of surprise on his face. This is the phone number of the editorial department of another world-class mathematics journal "Inventiones Mathematicae".

He connected 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, which is about the Jacques Solomon Adama system and the Riemann conjecture , I would like to ask you to be a reviewer 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 Adamard's system..."

For some reason, Professor Velasquez's right eyelid twitched uncontrollably. He subconsciously asked, "What's the title of this paper?"

"Proof that the Jacques Solomon Adama System Cannot Crack the Riemann Hypothesis."

"What? You say it again?"

"Proof that the Jacques Solomon Adama System Cannot Crack the Riemann Hypothesis."

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

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

Professor Velasquez didn't listen any more, his mind was buzzing, just echoing the two angry "fake oil" that Professor Gattuso just said over and over again.

That terrible Xia Guo boy, wouldn't even plan to close the window of this Jacques Adama system...

After hanging up the phone, Professor Velasquez turned back with a wry smile and said, "God bless, my guess is wrong, otherwise, the cracking process of Riemann's conjecture may have to go back 100 years."

……

Just when the world's mathematics community was disturbed by three papers on Riemann's conjecture from Xia Guo, the instigator, Qin Ke, was walking towards the house holding the soft and delicate hand of his own cabbage.

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