Scholar’s Advanced Technological System
Chapter 1031: The future of number theory
On the stage.
The seventh whiteboard has been filled!
When the eighth whiteboard was dragged onto the stage, there was basically no suspense in the outcome.
The fluent calculations and clear ideas, as well as the use and understanding of the mathematical tools that have been filmed, have conquered almost all of the audience on the scene.
The original pure complex function proposition can be so bizarre.
The two concepts of complex plane and differential manifold, which seem to be not in the same dimension at all, can achieve such a high degree of uniformity on the Riemann zeta function.
The pen hanging on the whiteboard is like Beethoven's baton. The chaotic prime number is at his nib, just like a note that has been given life meaning, striking the heartstrings of everyone on the scene.
As Schultz said, it all seems to come from the void, as if it does not belong to the world.
The audience sitting under the stage can't wait for this report to never end, and the heart sounds that wash their souls never stop.
It is best to go on like this until the whole universe is stripped by the magical pen, revealing all the secrets about the language of God in front of them...
Sitting on the stage and staring at the stage, Molina lightly bit her lip, and the double fists resting on the double knees kept pinching and loosening, and the stubborn eyes were filled with unsatisfactory colors.
One layer of the layer was originally trapped by her numerous days and nights. Under the brushwork of the flowing water, it was cut down in an understatement, and even let him stop for a second, even if it was a brow. To.
This sense of powerlessness made her full of frustration.
Even if she is not qualified to prove whether a proposition is proved, but from the atmosphere that haunts the scene, she can clearly perceive that this is no suspense.
After all, the slap in the face is not deceiving.
Even herself, she is a persuaded member...
Sitting next to Molina, her former mentor Sophie Morel, a mathematics professor who is no longer young and has begun to climb the crow's feet, looked at his former students and said in a soft voice. .
"In my opinion, at least 80% of the possibilities, he did.... What are you going to do?"
Molina was silent for a while, and she lowered her eyes slightly.
"I don't know, maybe go home and take a vacation and say..."
She spent ten years searching for the answer to this proposition.
Although not willing to admit such a result, the fact that there is no reversal is so cruel.
She lost.
Looking at the depressed Molina, Sophie sighed softly and comforted herself.
"You shouldn't get into the horns. There are many propositions in the world that are worth thinking about in addition to Riemann's conjecture."
Molina was silent for a moment and looked up.
"Maybe."
......
Yes.
Proof that this step has been carried out, basically no suspense.
Especially when the eighth whiteboard was written halfway, even the Professor Faltins, who was sitting there from the very beginning, did not blink.
Just in the moment.
One of the locked iron gates in his heart, together with the one-step wide stone wall, collapsed in an instant. After the collapsed ruins, he saw a new world that he had never seen before...
The last time he felt like this, he did not remember clearly.
He only remembered that he seemed to be very young at that time. At that time, Grottendick had not retired, and the young and energetic himself wrote to the pope of algebraic geometry that he now seems to be " Childish and incomparable letter...
Sitting next to him, like him, from beginning to end, he said nothing, just a meticulously staring at the whiteboard Professor Delière, suddenly opened.
"Do you think he did it?"
Some of the questions asked by this question were too late, and Professor Faltins bowed slightly and gave a conservative answer after setting the god.
"More than 90%."
Hearing this sentence, Professor Deliène, who was always unsmiling, suddenly smiled and said after a pause.
"When did you start to use this ambiguous wording to draw conclusions?"
The expression on the face did not change because of the old friend's teasing. Professor Fartings, who is passionate about "Germanic humor," rarely went back without a poisonous tongue, but said quietly.
"... After all, it is Riemann's conjecture, we have to be cautious. What's more, don't just ask my opinion, how do you feel about yourself?"
For this sharp questioning, Professor De Lierne was silent for a while and said.
"I can't find a suitable counterexample to refute him for the time being, as if I can't find a non-trivial zero beyond a critical line..."
After a pause, Professor Delini continued with a positive voice.
"I can only say that his proof is logically self-consistent."
Professor Faltins glanced at him with a slight surprise, but did not say anything, but just plainly removed his eyes from his face.
Although he did not say it, Delière’s meaning he already understood.
This kind of answer has almost been confirmed with the certificate of the person on the stage. The difference is only a public statement...
At the same time, not only Deligne and Faltins are discussing this issue, sitting on the other side of the venue, almost the same discussion is also going on.
When he saw Lu Zhou writing the key formula, Fefferman looked at Tao Zhexuan sitting next to him and asked.
"Analytical number theory is more authoritative than me... What is your opinion?"
The eyes sparkled with excitement, but the professor Tao, who had nothing to say, had not had time to open his mouth. The unscrupulous man sitting next to him, excitedly squeezed his fist and almost stood up.
"This is it!"
He whispered lowly, his fists excitedly hammered on his lap, and turned a blind eye to the scholars from the side, and eloquently vented his excitement.
It’s like he’s not watching a report, but a **** game.
I looked at the direction with a stunned look. Tao Zhexuan, who was interrupted, retracted his gaze and looked at Prof. Fefferman, who was satisfied with the same face, and shrugged.
"It seems... this question has already been answered for me."
"As for my opinion, like him."
......
Write down with the last line of calculations.
With the pen hanging on the whiteboard finally gently put down.
At this moment, everything is quiet.
There was no sound in the whole venue.
After taking two steps back and looking at the neatly-formed formula on the whiteboard, Lu Zhou spent about half a minute to relive the feeling of heartyness and recall the hard times that have been passed on this pilgrimage road for several years. every step……
At the same time, the audience was given half a minute to sort out the content he had just said.
Cleared some hoarse scorpions, Lu Zhou turned back to the quiet venue, slowly said.
"Here, the distribution of the non-trivial zeros of the Riemann zeta function, we can already answer with a positive statement. That is, all non-trivial zeros of the Riemann zeta function are located on the complex plane re(s)=1 /2 on the straight line."
"The proof is over here, and the unfinished exploration has finally come to an end here. However, the exploration of the future has only just begun. There are still many problems in the world that we don't know how to answer."
"For example, as the analytical extension of Dirichlet's series, is all the non-trivial zeros of the Dirichlet l function equally located on the line of the complex plane re(s) = 1/2? And what about the self-defending l function? We still cannot give a positive answer to these profound questions."
"Historical experience tells us that whenever we solve a problem, there will be more trouble waiting for us behind. But I think this must be a happy trouble, and our academics are prospering. ”
Having said that, Lu Zhou paused and continued.
"Some words I originally intended to wait until the academics gave a clear qualitative description of my paper, but ... in my opinion, there is no difference."
The quiet meeting place was silent.
From the silent silence, I felt the heavy approval. Lu Zhou gently turned his head and responded to all the look of expectation, raising the volume and continuing to say.
“Answer the question from the previous friend. After Riemann’s guess is over, what will the analytic number theory do?”
“My answer is that this ancient discipline will surely renew its vitality and become more prosperous than ever.”
"As for myself, I might study the Dirichlet function and the generalization of the Riemann conjecture...that is, the generalized Riemann conjecture, or maybe my friend to study the non-trivial zero of the Riemann zeta function. The physical meaning of this sounds equally exciting enough."
"Of course, I personally recognize it, and I prefer a more ambitious proposition."
After a pause of about three seconds, I looked around at the circle of the pair of eyes gathered in my own eyes. I had already unloaded all the burdens of the boat, took a deep breath, and said with a relaxed tone that he had long wanted the words said.
"...that is, unified algebra and geometry!"
Almost at the moment when Lu Zhou said this sentence, the whole venue was like boiling water boiled in the same pot, and it instantly boiled!
Unified algebra and geometry!
Shocked, doubtful, curious, confused, sly or expressionless...
"Unification... algebra and geometry? My God!"
"This, this is too exaggerated."
"I don't know how high the earth is! Riemann guesses that there is no need to see how the academic world is qualitative. It has already expanded so much!"
"But if it is him, it is really possible to say no."
All kinds of humming sounds merged into a torrent of torrents under the stage, impacting each person's eardrum and nerves.
Academician Wang was so surprised that he widened his eyes and couldn't believe that Lu Zhou would suddenly say such crazy thoughts.
Molina’s face is full of shocks. There is no doubt that this is a mountain that is more ambitious and unattainable than Riemann’s conjecture. She does not understand that he has already completed such a great cause, why should he set it down at this time? Such a flag.
Similarly, Faltins' pupil was slightly magnified by shock.
Only his shock was a little different from most of the people present here.
Staring at the young man standing on the stage, the old man whispered in a whisper.
"... actually got preempted."
Unified algebra and geometry...
This is the last thing he intends to do before he retirees.
I didn’t expect it to be so clever. This plan has just begun, and some people have thought of it with him.
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