Chapter 267: Final decision, irrefutable
It is a very good performance that Chen Qiyi managed to make it to the end of the second page.
But the difference is here. As you go further, the difficulty of each page will increase nonlinearly.
From this, we can imagine how high the math level of people like David Tao and Qiu Chengtong is.
With a sigh, Chen Qiyi looked at Lu Shan worriedly, and began to feel uneasy.
An extreme thought began to arise in my mind: what if Lu Shan couldn't wake up?
"No! Lu Shan must be fine! The doctor said he was just too tired. It's normal to rack his brain to solve the Riemann hypothesis." Chen Qiyi immediately threw this idea out of his head and concentrated on studying the first two pages, trying to find a way to go to the next page.
According to Chen Qiyi's deduction, there is absolutely no problem with Lu Shan's deduction as far as he can understand it.
He didn't know what happened next, but based on his understanding of Lu Shan, there should be no problem.
There is a high probability that Lu Shan really proved the Riemann hypothesis, and he solved this historical problem in just ten pages.
As the derivation progressed, the mathematicians in the Princeton academic lecture hall gradually reached their own ceilings. No matter how hard they thought, it was difficult to break through their own limits.
So these people began to come together to discuss.
Since we are going to discuss, the first step is to inform each other of our progress.
There is no doubt that all the top teams were stuck in the middle of the fourth page. Only a few people found clues in the lower half of the fourth page, but that was their own idea. Many people had different opinions, and it could not be used as a basis for a breakthrough.
Those who can speak are all big shots. Those who are not at a similar level should just sit down and listen quietly. It’s not too much to kick them out with this level.
After listening to it, this group of math experts made one thing clear, that is, there was no problem with Lu Shan's proof in the area they could understand, so the second half of the paper should, or perhaps, be fine.
Moreover, they discovered a very unique phenomenon, that is, Lu Shan's derivation is simply a sharp tool for distinguishing levels.
The previous step might be understandable, but the next step is a bit confusing, and the next one is completely lost. The span is so large and the difficulty level is so obviously increased that it is eye-catching.
"No wonder this derivation only has ten pages. The steps to prove the Riemann hypothesis are condensed to an awful degree within ten pages." A big shot couldn't help but sigh.
"Don't encourage others. Lu Shan might be wrong later on." A big shot retorted.
“Even so, isn’t it terrifying enough that one person has pushed it to this point?” He didn’t say the second half of the sentence. They had been working as a team for such a long time, and even used computer models, before they could barely understand this point.
"Stop talking nonsense. Do you have any way to verify the following content? If there is no loophole, Lu Shan will take the honor!"
After these words were spoken, there was silence again. It was unknown how many times this had happened. It was as if Lu Shan had his own silencing skill, and he would use it on the proud white man and the swaying banana man from time to time.
Ideas? What the hell are you talking about? If you really have an idea, you would still be working on it. Why would you still be discussing it here? Everyone should be surrounding the person working on it.
Everyone opened their mouths and wanted to say something, but found that they couldn't say anything. They couldn't even convince themselves of their own ideas. They were wrong as soon as they calculated and there was no point in making any sense.
It is already painful enough that the Westerners failed to solve the Riemann hypothesis but the Chinese did.
What’s even more frustrating is that Lu Shan is still so young and the derivation process is so short, it’s simply not worth it.
This is the most difficult thing for the proud Western academic community to accept. If Lu Shan's paper is controversial, it at least shows that they still have a level of doubt.
Now, I can’t say anything!
At this time, David Tao spoke up. Although he is also a yellow man, he still has a bottom line and a high status in the Western world, so everyone will listen to what he says: "The technology we have developed is not the right way to solve the Riemann hypothesis itself. It also requires some major ideas from other places, such as the unexpected way Lu Shan uses analytic number theory."
"This is known as the method of abandoning a pawn, but Lu Shan found a way out from here."
"If we let (σ,) denote the number of zeros of the Riemann zeta function with a real part at least σ and an imaginary part at most σ, the Riemann hypothesis tells us that for any σ>1/2, (σ,) will vanish. Of course, we cannot prove this unconditionally. But as a next step, we can prove a non-trivial upper bound on the zero density estimate, ., (σ,). It turns out that σ=3/4 is a critical value."
“1940年，Ingham得出了一个结果——(3/4，)^{3/5+(1)}。在接下来的八十年里，对该界限的唯一改进是对(1)误差的小幅改进。陆山却直接设定了条件一步到位了。
I didn’t understand the rest, but at least the idea was very remarkable. So I think Lu Shan really solved the Riemann hypothesis.”
Tao Zhexuan spoke very logically and no one could refute him. At this point, even if they were unwilling, they all believed that Lu Shan had indeed figured out the Riemann hypothesis.
"I agree! The Riemann hypothesis should have been proved." Qiu Chengtong looked at Lu Shan's ten pages of paper, still feeling unsatisfied.
After repeated derivations, many neutral mathematicians also agreed and exclaimed: "I never thought that the problem that has troubled the mathematical world for a century is just these ten pages!"
"I also agree with Professor Tao. This is how the Riemann hypothesis should be proved."
More and more mathematicians agree that the Riemann hypothesis has indeed been proved.
Everyone was a little dazed.
It doesn't seem so real, but it actually happened!
The ten-page proof says it all!
"If you want to do research, you have to think of new ideas first. We still need to seek Lu Shan's opinion on the publication of the paper." The editor-in-chief of "Annals of Mathematics" finally got rid of his anger. This group of opponents described their journal as a low-quality third-rate journal and made such an academic report. Now, if Lu Shan's paper is correct, the status of "Annals of Mathematics" in the mathematical community should be unshakable for a hundred years!
Still no one said anything. Anyone who wanted to object could only point out the mistakes in Lu Shan's paper. If they couldn't do that, they could only accept the publication of the Annals of Mathematics. Princeton University planned to announce the result in public after Lu Shan woke up, and at the same time told the Clay Mathematics Institute that the one million dollars they had prepared could be spent.
Lu Shan was still sleeping quietly in the hospital at this time. He slept very soundly and his mind was very calm, but he could always see many different things. The vast and tiny world was constantly changing scenes.
In the dream, Lu Shan looked at human tissue through a microscope. The more he magnified it, the more it looked like a scene in the universe. The phenomenon of glowing and heating existed inside the human body.
The life of a cell is so similar to the life of a star; the movement of the atomic microscopic world is so similar to the operation of the universe; all laws are applicable in a certain area after being magnified or reduced.
People feel extremely small in it. Whether facing the microscopic world or the macroscopic universe, human beings seem so insignificant.
As these scenes change, Lu Shan's brain is constantly expanding and his abilities are constantly improving.
Lu Shan was in a coma for two days. During these two days, many people came to the hospital to visit Lu Shan spontaneously.
But they were all rejected by the Jiangzhou University team, and the flower baskets were placed in a row outside the ward.
Lu Shan first proved the Landau-Siegel zero point conjecture.
Then figure out the Riemann hypothesis.
This has made Lu Shan's status in the mathematics world No. 1! He has gained a large number of fans, and even some of the best of the best have come to inquire about Lu Shan's condition. They have also consulted with top doctors, but they all said that Lu Shan was just sleeping.
Some Western scholars really admire Lu Shan, but the cultural differences led to a big joke.
There was a young mathematician named John who also wanted to express his blessing, but the flower baskets were sold out. He saw the colorful wreaths in the local Chinatown and they suited his aesthetic taste, so he bought one.
There is no need to say much about what happened next. He was stopped in advance by other people from Xia Country. Otherwise, he would not have been able to escape the beating.
The news of Lu Shan's coma was reported back to China immediately. Qiao Weiwei was so worried that she couldn't sleep. She sent messages to Zhang Lingxi every few hours to ask if Lu Shan had woken up.
Even when it was time to go to bed, Qiao Weiwei couldn't fall asleep even after closing her eyes, and she kept asking until dawn.
Soon, Ma Lijuan noticed the dark circles under Qiao Weiwei's eyes. This time she did not laugh at Qiao Weiwei because her subordinates were all very worried about Lu Shan.
Fortunately, Lu Shan slept comfortably for two days and finally woke up naturally.
Take a deep breath. Why does it smell like a hospital?
But my mind is so clear and light, as if I have endless energy, and there seems to be nothing I can't figure out.
I stretched and felt something pressing down on the quilt.
Upon closer inspection, it turned out that it was Zhang Lingxi who was sleeping next to him.
She was sleeping so soundly that she was snoring slightly.
Lu Shan felt a little guilty. He could have waited until he had enough energy to deduce it on the spot, but he still tried to show off and made Zhang Lingxi so worried.
The ward was quiet. Lu Shan got out of bed quietly, intending to carry Zhang Lingxi to the bed from the side to rest.
Just as Lu Shan put his arm around Zhang Lingxi's waist, the door suddenly opened and Chen Qiyi came in to take over the shift.
Their eyes met, and the awkwardness in the air was indescribable. Chen Qiyi reacted immediately, quietly left the ward, and closed the door.
"Teacher Chen..." After Lu Shan put Zhang Lingxi away, he ran out to explain.
Chen Qiyi listened to Lu Shan's explanation with a smile on his face and said nothing. Isn't it just a love story between a boy and a girl?
It’s not like I haven’t seen it before.
The point is that Lu Shan woke up. This is the best news. Everything else is nothing.
Seeing Chen Qiyi's smile, Lu Shan felt that he couldn't wash it off even if he jumped into the Yellow River.
Just at this moment, Zhang Lingxi ran over in a panic: "Dean Chen! It's bad, Lu Shan is missing... Hmm? Lu Shan, are you awake?"
"Yeah, how can we help you to rest if you're not awake?" Chen Qiyi was in a good mood. He made a joke and went to inform the rest of the team that Lu Shan had woken up.
This time it was Zhang Lingxi and Lu Shan's turn to be embarrassed, especially Zhang Lingxi. When she heard that it was Lu Shan who "helped" her to rest, she immediately understood that it was Lu Shan who carried her up, but Dean Chen did not say it directly.
"I'll go tell my colleagues in China that you're awake, so that everyone won't worry." Zhang Lingxi turned around and ran away, his face flushed.
"The more you explain, the worse it gets!" Lu Shan was completely speechless. How could it be so easy to be misunderstood when doing good things these days?
Half an hour later, everyone in the travel team gathered together to celebrate Lu Shan's recovery.
(End of this chapter)
