Chapter 841

For the mathematicians who are short of gossip, any research progress on Riemann conjecture will be talked about for a while.

This is no exception to the Mathematics Department of the University of Los Angeles, Berkeley, the holy land of mathematics on the west coast.

As early as the first time that the preprint of Professor Lu's paper was hung with arXiv, about quasi Riemann's conjecture that the news would fly everywhere. Just sit in a coffee shop, you can hear someone excitedly discussing the problem that has lasted for a century.

"Have you heard? The quasi Riemann conjecture has been proved! "

"I've just heard that. It's unbelievable that no one has been able to shift the right boundary of the critical zone to the left even a little bit for a century!"

"The last study in this field led directly to the proof of prime number theorem. I don't know what Professor Lu will bring us this time."

"Well, if only I could have half of Professor Lu's IQ."

"Wake up, don't dream!"

It's not just the students in Berkeley's mathematics department. Professors are talking about it.

Although analytic number theory is not a strong direction of Berkeley, it is more partial differential equation here, but for Tao Zhehuan, who is almost no scholar who is not proficient in any field, he will not miss the big news in the field of mathematics.

In the office of the Department of mathematics at Berkeley, Tao zhezhen, who was sitting in front of a desk full of scribbles and turning a ballpoint pen in his hand, was staring at the dense paper on the desk, because he was so focused that he didn't even hear the knock at the door behind him.

The knock continued for a while, and the back door of Er pushed open directly. A skinny Asian man came in with a box of pizza. Judging from his skillful movements, he should be a doctor in this office.

"Professor, here's your pizza."

Without looking up, Tao said casually with his back to him.

"Just put it aside for me."

"OK, although I recommend that you eat it while it's hot," the doctoral student put the pizza on the table, glanced at the sketch paper in front of the boss and asked curiously, "well, I saw your topic on mathover flow this morning Are you still working on that paper? "

Tao Zhehuan: "yes."

Swallowing, the doctoral student asked in an expectant voice.

"Is there any result?"

"I'll tell you if I have one."

"All right." Listening to the cold voice, the doctoral student vomited his tongue, made a helpless expression and quit the door.

Generally speaking, Professor Tao is more approachable, and he is one of the most popular professors in Berkeley, a few of whom will be with students.

However, it is also split and combined.

Generally speaking, when he is baffled by any problem, even if his wife comes, don't expect him to show much enthusiasm

"Interesting."

"By introducing algebraic geometry, we can see the shadow of grotendic's works in his paper, but it is not particularly obvious."

"The key lies in the selection of algebraic curves on the complex plane How on earth did he come up with it? "

"And Can this method really be called proof? "

Leaning on the office chair and staring at the dusty ceiling fan above his head, Tao zhe Xuan scratched the back of his head.

He seldom bothers so long about one thing.

The ball point pen lightly on the paper, pondered for a long time, he just face dignified spit out a word.

"There is a dispute."

However, this sentence is not in a positive tone. In dealing with this problem, he is rarely as confident as before.

"Am I wrong..."

Or is it true that, as he thought, the proof is problematic?

……

In a word, when was Vera's email last time? Lu Zhou can't remember it very well.

Maybe a year ago?

Maybe something a little longer.

Obviously, Vera, who is studying Riemann's conjecture, naturally saw the preprint he hung on arXiv, and should have spent time to study it again, and some questions arose from it.

Many things are difficult to discuss clearly in the email. The two agreed to make a video call at 8:00 p.m. the next day when they went to Beijing.

So

After three years, Lu Zhou once again met his most proud and complicated disciple.

Although separated by a network cable

At 8:00 the next night, the video call is on.

After making a cup of coffee and sitting in the study, Lu Zhou was ready to discuss academic issues, but the atmosphere was somewhat unexpected and rigid.

It seems that the little girl who has a lot of words to say is now like she doesn't know how to speak. She just sits there nervously and stares at the computer screen and doesn't speak.And while Vera is looking at the boat in the video with a worried face, she is also looking at Vera's boat, and the expression on her face is also slightly awkward at the moment.

The blonde hair has been combed into a delicate Princess braid, and the long skirt with silk edge has outlined a nice curve of shoulder. Even the land boat, which can't distinguish the difference between the mouth red number, can see that this look is obviously not a daily make-up, obviously it's meticulously dressed.

What should I say at this time?

Long time no see?

It seems a little cold.

Your new hairstyle is very good?

I always feel that there will be unnecessary misunderstandings

With a slight cough, Lu Zhou tried to make a formal expression and said in a clear voice.

"Go straight to the point Let me see where your question is. "

Greetings and politeness will make the atmosphere a little stiff. Everyone is engaged in mathematics, and they will go directly to the main topic. Maybe they will make the atmosphere a little easier.

As expected, with this saying, the atmosphere in the video call is a little softer.

Sitting at the other end of the computer, Vera also loosened her mouth, and then the chicken nodded like pecking at rice.

"Mm-hmm, please, just a moment..."

With that, the little girl got up and walked quickly to one side. She dragged a blackboard full of hard work from the side of the classroom.

Seeing the line formula on the blackboard, Lu Zhou was slightly stunned, his eyes flashed a trace of surprise, and then his expression gradually became serious.

Looking at the pondering boat, Vera cleared her throat and whispered, "this is the algebraic geometry method you used to prove the quasi Riemann conjecture. I tried to summarize the method from the problem itself."

The content on the blackboard was quickly browsed, and Lu Zhou nodded approvingly and gave a positive evaluation.

"Well done."

It's worthy of his apprenticeship.

It's not easy to sort out these things.

Vera smiled sheepishly: "although Molina Ms. Abel asked me not to share these questions with you, but I still felt that It's better to have a discussion with you. "

It's actually a risky thing to communicate with the genius, because the academic world is only focused on results, not on where "idea" comes from.

So don't mention some interesting ideas. Sometimes even the periodical results that are enough to be published on the top will be suppressed by the author If he has ambitions for higher goals, and does not belong to those scholars who are indifferent to fame and wealth and do not care about fame and fame.

After a pause, Willa put on a serious expression and continued.

"I have carefully studied the algebraic curves on the finite field that you introduced when ε is infinitely small and there is no nonzero trivial point of ζ function in the region of re (s) ≥ 1 - ε, and obtained according to the properties of ζ (s) = 2 Γ (1-s) (2 π) s-1sin (π s / 2) ζ (1-s)..."

With that, Vera turned to face the blackboard, left a blank space in the corner, and wrote a row of formulas.

Looking at Willa's blackboard writing on the blackboard, Lu Zhou frowned slightly, but soon relaxed.

He has got a general idea of Vera's thinking.

On the basis of her own proof method, she gives a kind of Plancherel formula on a class of simply connected nilpotent Lie groups through the mapping method of homologous groups In short, he improved his group construction method, and then applied it to the amplification of ε value.

The chalk on the blackboard stopped gradually, and Vera, who had come back, smiled shyly.

"It might work in this way, but I can't do it in half. I think if it's you, I'll find out why... "

"So If only I could help you. "

In the last sentence, Vera's voice is so small that she is not sure whether the land boat at the other end of the video is really heard.

Staring at the formula on the blackboard for a while, he sat still in the boat and suddenly said.

"Do you know why you can't find the reason?"

Slightly stunned, Willa subconsciously asked.

“…… Why? "

With an expression of regret on his face, Lu Zhou told the truth.

"Because group construction can't prove this problem."

Vera: