"He did it?"
Hearing Bombieri's words, Deligne, who had been taking a nap with his eyes closed next to him, opened his eyes, turned his head and looked over, and asked.
"In my opinion, he did it." Bombieri nodded and sighed, "These are definitely two very beautiful papers."
"Every step is very detailed. Even though I read it quickly, I am basically sure that it is all correct."
"And just as we evaluated at the beginning, he also has mathematical thinking that most other mathematicians do not have. At every key step, he is always able to complete the advancement in a way that we can hardly imagine. Every advancement is always so efficient. People can't imagine it before watching it, but after watching it, they will only be amazed."
"It makes me wonder, is the brain structure of these young people different from ours?"
Bombieri's praise made Deligne raise his eyebrows, "This is really a very high evaluation."
"After you read it, you will also understand." Bombieri said with a smile.
Deligne laughed, "Anyway, as long as you read it and got the result, it's enough to know that his conclusion is correct."
He didn't look at it just now, just waiting for Bombieri to tell him the result.
Bombieri immediately shook his head with a smile and said, "No matter what, I still recommend you to read his paper, even if it is to appreciate a piece of art made of mathematical words."
"Really?"
Hearing what Bombieri said, Deligne became interested. "Then it seems I really need to take a look as soon as possible."
Bombieri said, "You won't be disappointed."
Deligne nodded and decided to take the time to read it over the next few days.
At this time, the small coffee shop that was originally quite quiet gradually became noisy. Many of those Princeton Institute for Advanced Study mathematicians had also finished reading.
The discussion gradually began, and there were many exclamations among them.
"He is definitely right. I didn't find any errors, and his process was very detailed and easy to understand."
"Yes! I think so too, he is right."
Until the end, several people walked up to Bombieri and said, "Professor Bombieri, do you think those two papers are correct?"
Bombieri replied with a smile, "My conclusion and yours are the same, completely correct."
Oxford University.
"Yes, yes, that's right." James·Maynard looked at the paper on the screen, holding a pen in his hand to follow the calculations in the paper.
His eyes were full of excitement.
[MQ^5/2R^3/x^(115)...]
[x^(1/3)/M^(1/3)≤N3≤x^3/7+...]
"Then you can get that for every <1 and A>0, there is a constant C>0, so that for x>2, there is Σ_(1≤q≤x^θ)E(x; q)≤Cx/log^Ax!"
"The Elliott–Halberstam conjecture has been perfectly proven!"
"Perfect!"
"It's so perfect!"
As a mathematician who regards number theory as his lifelong pursuit, James·Maynard is very happy to see any great results in number theory.
Even though he didn't research it himself, it still made him happy.
Suddenly, he was calmed down by his anger at Xiao Yi for playing Fermat's tricks two days ago.
For the sake of these two papers that impressed me so much——
Of course I forgive him!
With excitement in his heart, he immediately took out his mobile phone and called one of his seniors in research and his good friend, Terence Tao.
Terence Tao.
Soon, the call came through.
As a result, just when he was about to speak, Terence Tao on the opposite side spoke first.
"Hey! Have you read the two papers by James and Xiao Yi?"
"I really can't believe that a problem we have been studying for so long was suddenly solved like this!"
"There is also the theory in the first paper that combines far Abelian geometry with Automorphic Forms. Well... in the paper, Xiao Yi named this theory [etale algebraic variety automorphic theory]. I took a look at this theory and was surprised to find that the polymath project we once worked on will be able to directly achieve a breakthrough!"
"The only regret is that Xiao Yi has already proved the Elliott-Halberstam conjecture, and he directly solved the prime number gap problem into 6..."
"Ha, this can't be said to be a pity, it should be said to be a good thing!"
"And..."
Just when Terence Tao wanted to continue talking, he suddenly realized something and asked, "James, why don't you speak?"
James·Maynard suddenly said helplessly, "You are always talking, how can I talk?"
"Ahahaha~" Terence Tao laughed awkwardly, and then said, "Okay, okay, you say it first, you say it first."
Maynard said helplessly again, "But you have already finished what I wanted to say."
"Ah..." Terence Tao paused for a moment, and finally asked, "Then how about... you continue to listen to me?"
"Okay, keep talking." Maynard sighed.
Terence Tao was not polite and started talking immediately. "Also, using the etale algebraic variety automorphic theory, maybe we can make more achievements on the prime number problem, such as the x^2+1 prime number problem."
Maynard: "Why not consider twin primes? Now we are less than 4 away from the final answer."
"Hmm... Because I gave it a rough thought, and the final conclusion I can draw is that the limit that Etale's algebraic variety automorphic theory can achieve is 6. If you want to further improve it to [less than 3], you may still need to think of ways from other angles."
"So, we might as well study the application of this theory in other aspects!"
"That's the real shame."
Although it is a pity that Twin Prime Conjecture cannot be directly proved further.
But the undeniable fact is -
This jewel in the crown of number theory has been officially advanced to the number 6 with the achievement of Xiao Yi!
The influence of the two papers continues to grow. More and more mathematicians have read them, and more and more mathematicians have expressed great recognition of them.
Some mathematicians are even beginning to believe that these two papers can be regarded as one of the biggest breakthroughs in mathematics this year, and "Science" should include this matter in the selection at the end of the year.
There are quite a few mathematicians who agree with this point of view, and there is no objection at all. Even Bojielun, the editor-in-chief of IHES, also stood up and said that when "Science" begins to select Scientific Community's ten most important breakthroughs this year, he will definitely vote for [etale algebraic variety automorphic theory].
Of course, there are quite a few mathematicians who are making a fortune silently.
These mathematicians are looking forward to these two papers Xiao Yi, because the theory of Xiao Yi will help them achieve major breakthroughs in their own projects, or even complete them directly!