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Chapter 405 Report on the Quasi-Riemann Hypothesis (for subscription)
Chapter 405 Report on the Quasi-Riemann Hypothesis (for subscription)
Riemann's conjecture has too much influence. From a purely mathematical point of view, Riemann's conjecture can be described as the most difficult and influential mathematical conjecture among the seven major mathematical problems in the world.It is also a hot topic in mathematics research.
The proof of quasi-Riemann's conjecture, although it does not really completely solve the Riemann's conjecture, but it allows the mathematical community to go from 0 steps to 99 steps directly on the Riemann's conjecture, and only the last step can cap the mathematical building of Riemann's conjecture .
From 0 steps to 99 steps, this is a huge progress and leap, which is amazing enough. Once the quasi-Riemann conjecture is recognized by the mathematical community, then there will be six more mathematical conjectures attached to the Riemann conjecture. Hundreds were solved, from conjectures to theorems.
Therefore, as soon as the proof paper of the quasi-Riemann conjecture was published, mathematicians at home and abroad ordered papers one after another, studied the papers immediately, and deliberated on the papers.
Just as Perelman's three papers proving the Poincaré conjecture have made the world's mathematics circles brain-wrenching, it is difficult to demonstrate. It took three years to complete the demonstration work of the paper, and Perelman's proof of Poincaré's conjecture was recognized. Lai guessed the same.
The quasi-Riemann conjecture paper was written by Perelman himself. The natural style is in the same line, and it is also difficult to understand. During this period of time, mathematicians all over the world have had a headache and burned countless cells. The result is that there is no one Stand up and acknowledge the proof results of the quasi-Riemann conjecture.
So much so that during this time, Perelman was jokingly called the public enemy of mathematicians all over the world.
But fortunately, Perelman didn't just throw out papers like he did more than ten years ago, and then ignore it. He just digs holes and doesn't bury people. That is the real pain.At least now, an academic report meeting on the proof of the quasi-Riemann conjecture has been held.
There are more than [-] mathematicians invited to participate this time, plus the mathematicians who heard the news, there are at least [-] mathematicians.
Fortunately, the No. 1 lecture hall of the Shahe campus is big enough so that there is no room for seating. It is more than enough to hold such an academic report meeting.
Even, many students came here after hearing the news, wanting to witness this grand academic event. Even undergraduates came to the Shahe campus by subway or taxi. After all, such an academic event is rare.
"Qin, thinking about the fact that there are 3000 people participating in this academic report meeting, my heart is beating and I am extremely nervous. Otherwise, you should come to the report meeting to report on your work." Although it is still spring, the weather is pleasant and the temperature is moderate , but Perelman, a big man, was very nervous, his palms were sweating, and he kept wiping his forehead, as if his forehead was constantly sweating.
Qin Yuanqing was speechless, he said it well at the beginning, why did he want to change his mind now!
However, Qin Yuanqing felt that Perelman's social phobia had to be corrected. The world's great mathematician stood at the pinnacle of human intelligence and surpassed 99.99% of the world's people. There was nothing to be afraid of.
"Perelman, hold on tight, don't panic!" Qin Yuanqing patted Perelman on the shoulder and said with a smile, "Isn't there still me here? Supplements, I will supplement them as soon as possible!"
"Look at yesterday, wasn't it great that you received mathematicians from Russia!" Qin Yuanqing laughed.
Qiu Chengtong, Tao Zhexuan, Faltins, Wiles, Deligne and other world-class mathematicians were received by Qin Yuanqing personally, while the mathematicians from Russia were handed over to Perelman for reception.Although Russia's economy has not been very good in recent years, and it is no longer comparable to the economic scale of a Guangdong province, Russia has always been a very important force in the world of mathematics and belongs to a mathematical power. , don't be surprised, this is very normal.
Although China is relatively unfamiliar with Russian mathematicians, in fact, Russia is rich in famous mathematicians, such as Kolmogorov who created the modern probability theory, and one of the pioneers of the theory of real variable functions Lukin, for example, Chebyshev who proved the Beltran formula, the theorem of the distribution of prime numbers in the natural number sequence, the half formula of the law of large numbers, and the central limit theorem, such as Markov, the representative of the Petersburg School of Mathematics, such as the modern probability One of the founders of the theory and the founder of the Moscow School of Probability.
There are countless mathematicians in Russia.Of course, the most famous and the highest academic status in Russia in this era is undoubtedly Perelman.
Since Perelman joined the Mizuki Institute for Advanced Study, it also played a butterfly effect. More than a dozen famous Russian mathematicians joined Mizuki University one after another and taught at Mizuki University. Keep approaching Princeton University.
Beijing time, at 9:00 in the morning, the report meeting officially begins!
In the auditorium, which was originally full of voices, all horses fell silent in an instant.
Like a bird facing a phoenix, a pair of eyes focused on the podium and the two figures who had just stepped onto the stage.
"The paper on the quasi-Riemann conjecture, I believe everyone has read it during this time!" Qin Yuanqing glanced at the audience, and said slowly: "The main purpose of this report is to answer many questions about the quasi-Riemann conjecture." Some doubts in the proof of Riemann's conjecture."
"The schedule of this report meeting is as follows. In the morning, there will be a one-hour report, a one-hour questioning session, and in the afternoon, there will be academic exchanges!" Qin Yuanqing talked about the process of the report meeting, and then said: "The next report will be led by Perelman. Lord, let me add, and now I have Perelman to report on the thesis."
On the other side, Perelman also walked to the blackboard closest to him. Unlike Qin Yuanqing's habit of using PPT, Perelman was accustomed to using the traditional blackboard. He raised his pen and wrote on it. The first line of this report is also the most core line of calculation.
“ζ(s)=2^s·π^(s-1)sin(πs2)Γ(1-s)ζ(1-s)……”
At the moment when this line of calculations appeared on the blackboard, everyone's eyes were focused on the blackboard, not on Qin Yuanqing.
Perelman was explaining while writing, and the formulas on the blackboard were like a string of flowing notes, dancing rhythmically under the sound of swishing strokes. Just to report on these people, and even the media broadcast live, I don't know how many people are watching.
Perelman seemed to have completely forgotten about the outside world and himself. He wrote down the formulas stroke by stroke, and he didn't care whether the people below could understand or not!
Unknowingly, Perelman stopped the pen in his hand, took a deep breath, took two steps back, then turned around, and said, "The basic situation is like this, let's move on to the questioning session."
At the beginning, when he was not on stage, Perelman was very nervous, but when he began to write calculations on the blackboard with the pen in his hand, these tensions disappeared. He only had the world of mathematics in his heart, and nothing else other.
After completing the report at this moment, Perelman was full of confidence. Although he did not study the field of number theory at the beginning, over the past year or so, Perelman has reached a very high level of attainment in number theory.
After all, in front of him, there is a No. 1 in mathematics in the world today leading the way. Sometimes a communication often gives Perelman great inspiration and feelings. Under such circumstances, Perelman is not in the field of number theory It's not enough to make rapid progress.
"I have a problem. It's the 21th formula in the 5th line on page 6 of the thesis." A young man sitting in the front raised his hand, and saw the handwritten copy he carried with him. The mathematical symbols that he only understands, in fact, this question is just one of the few questions he wrote down.
Everyone looked at the questioner. It was the famous German mathematician 'Schulz'. Now Schulz has been hailed as the successor of Faltings. He is a popular candidate for this award and enjoys a high reputation in the world.
Then everyone looked at Perelman and Qin Yuanqing on the stage.
In fact, during this period of time, everyone has communicated. The paper "Proof of the Quasi-Riemann Conjecture" written by Perelman is too salty and difficult to understand, and there are even jumps in many places, so Mathematicians who are closely connected with each other are constantly communicating, but even so, there are still many problems that cannot be solved.
As scholars, we all know very well that finding a logical loophole is far easier than setting up an impenetrable net.It is actually very difficult to resolve everyone's questions in a short report meeting.
When Wiles proved Fermat's last theorem, it took a full year to remedy the loopholes in the proof and answer the reviewers' questions.
It is often easier to find bugs than to fix them.
Just like destroying is often much simpler than building.
In the past, the thesis written by Qin Yuanqing had a tight thinking logic and was very detailed, so doctoral students could understand it, and even many graduate students could read it. Although the papers were relatively long, everyone liked this style very much. It will be difficult.Even if there are some things that I don't understand or understand, when I get Qin Yuanqing's answer at the academic report meeting, I often get everyone's unanimous approval and warm applause.
But now this article on "Proof of the Quasi-Riemann Conjecture" was written by Perelman, and it is full of Perelman's style. The size of the whole paper is less than one-third of that of Qin Yuanqing. It is extremely brain-burning, and there are many things that everyone does not understand and do not understand. This is naturally a loophole or a fundamental logical error that everyone subconsciously believes exists.
Now Schultz, who is just young and energetic, couldn't help asking questions first, so everyone wanted to see how Perelman answered.
Once the academic report meeting fails to answer some questions, it must be re-examined and answered after the report meeting, otherwise the mathematics community will not dare to admit the correctness of the paper.
(End of this chapter)
Riemann's conjecture has too much influence. From a purely mathematical point of view, Riemann's conjecture can be described as the most difficult and influential mathematical conjecture among the seven major mathematical problems in the world.It is also a hot topic in mathematics research.
The proof of quasi-Riemann's conjecture, although it does not really completely solve the Riemann's conjecture, but it allows the mathematical community to go from 0 steps to 99 steps directly on the Riemann's conjecture, and only the last step can cap the mathematical building of Riemann's conjecture .
From 0 steps to 99 steps, this is a huge progress and leap, which is amazing enough. Once the quasi-Riemann conjecture is recognized by the mathematical community, then there will be six more mathematical conjectures attached to the Riemann conjecture. Hundreds were solved, from conjectures to theorems.
Therefore, as soon as the proof paper of the quasi-Riemann conjecture was published, mathematicians at home and abroad ordered papers one after another, studied the papers immediately, and deliberated on the papers.
Just as Perelman's three papers proving the Poincaré conjecture have made the world's mathematics circles brain-wrenching, it is difficult to demonstrate. It took three years to complete the demonstration work of the paper, and Perelman's proof of Poincaré's conjecture was recognized. Lai guessed the same.
The quasi-Riemann conjecture paper was written by Perelman himself. The natural style is in the same line, and it is also difficult to understand. During this period of time, mathematicians all over the world have had a headache and burned countless cells. The result is that there is no one Stand up and acknowledge the proof results of the quasi-Riemann conjecture.
So much so that during this time, Perelman was jokingly called the public enemy of mathematicians all over the world.
But fortunately, Perelman didn't just throw out papers like he did more than ten years ago, and then ignore it. He just digs holes and doesn't bury people. That is the real pain.At least now, an academic report meeting on the proof of the quasi-Riemann conjecture has been held.
There are more than [-] mathematicians invited to participate this time, plus the mathematicians who heard the news, there are at least [-] mathematicians.
Fortunately, the No. 1 lecture hall of the Shahe campus is big enough so that there is no room for seating. It is more than enough to hold such an academic report meeting.
Even, many students came here after hearing the news, wanting to witness this grand academic event. Even undergraduates came to the Shahe campus by subway or taxi. After all, such an academic event is rare.
"Qin, thinking about the fact that there are 3000 people participating in this academic report meeting, my heart is beating and I am extremely nervous. Otherwise, you should come to the report meeting to report on your work." Although it is still spring, the weather is pleasant and the temperature is moderate , but Perelman, a big man, was very nervous, his palms were sweating, and he kept wiping his forehead, as if his forehead was constantly sweating.
Qin Yuanqing was speechless, he said it well at the beginning, why did he want to change his mind now!
However, Qin Yuanqing felt that Perelman's social phobia had to be corrected. The world's great mathematician stood at the pinnacle of human intelligence and surpassed 99.99% of the world's people. There was nothing to be afraid of.
"Perelman, hold on tight, don't panic!" Qin Yuanqing patted Perelman on the shoulder and said with a smile, "Isn't there still me here? Supplements, I will supplement them as soon as possible!"
"Look at yesterday, wasn't it great that you received mathematicians from Russia!" Qin Yuanqing laughed.
Qiu Chengtong, Tao Zhexuan, Faltins, Wiles, Deligne and other world-class mathematicians were received by Qin Yuanqing personally, while the mathematicians from Russia were handed over to Perelman for reception.Although Russia's economy has not been very good in recent years, and it is no longer comparable to the economic scale of a Guangdong province, Russia has always been a very important force in the world of mathematics and belongs to a mathematical power. , don't be surprised, this is very normal.
Although China is relatively unfamiliar with Russian mathematicians, in fact, Russia is rich in famous mathematicians, such as Kolmogorov who created the modern probability theory, and one of the pioneers of the theory of real variable functions Lukin, for example, Chebyshev who proved the Beltran formula, the theorem of the distribution of prime numbers in the natural number sequence, the half formula of the law of large numbers, and the central limit theorem, such as Markov, the representative of the Petersburg School of Mathematics, such as the modern probability One of the founders of the theory and the founder of the Moscow School of Probability.
There are countless mathematicians in Russia.Of course, the most famous and the highest academic status in Russia in this era is undoubtedly Perelman.
Since Perelman joined the Mizuki Institute for Advanced Study, it also played a butterfly effect. More than a dozen famous Russian mathematicians joined Mizuki University one after another and taught at Mizuki University. Keep approaching Princeton University.
Beijing time, at 9:00 in the morning, the report meeting officially begins!
In the auditorium, which was originally full of voices, all horses fell silent in an instant.
Like a bird facing a phoenix, a pair of eyes focused on the podium and the two figures who had just stepped onto the stage.
"The paper on the quasi-Riemann conjecture, I believe everyone has read it during this time!" Qin Yuanqing glanced at the audience, and said slowly: "The main purpose of this report is to answer many questions about the quasi-Riemann conjecture." Some doubts in the proof of Riemann's conjecture."
"The schedule of this report meeting is as follows. In the morning, there will be a one-hour report, a one-hour questioning session, and in the afternoon, there will be academic exchanges!" Qin Yuanqing talked about the process of the report meeting, and then said: "The next report will be led by Perelman. Lord, let me add, and now I have Perelman to report on the thesis."
On the other side, Perelman also walked to the blackboard closest to him. Unlike Qin Yuanqing's habit of using PPT, Perelman was accustomed to using the traditional blackboard. He raised his pen and wrote on it. The first line of this report is also the most core line of calculation.
“ζ(s)=2^s·π^(s-1)sin(πs2)Γ(1-s)ζ(1-s)……”
At the moment when this line of calculations appeared on the blackboard, everyone's eyes were focused on the blackboard, not on Qin Yuanqing.
Perelman was explaining while writing, and the formulas on the blackboard were like a string of flowing notes, dancing rhythmically under the sound of swishing strokes. Just to report on these people, and even the media broadcast live, I don't know how many people are watching.
Perelman seemed to have completely forgotten about the outside world and himself. He wrote down the formulas stroke by stroke, and he didn't care whether the people below could understand or not!
Unknowingly, Perelman stopped the pen in his hand, took a deep breath, took two steps back, then turned around, and said, "The basic situation is like this, let's move on to the questioning session."
At the beginning, when he was not on stage, Perelman was very nervous, but when he began to write calculations on the blackboard with the pen in his hand, these tensions disappeared. He only had the world of mathematics in his heart, and nothing else other.
After completing the report at this moment, Perelman was full of confidence. Although he did not study the field of number theory at the beginning, over the past year or so, Perelman has reached a very high level of attainment in number theory.
After all, in front of him, there is a No. 1 in mathematics in the world today leading the way. Sometimes a communication often gives Perelman great inspiration and feelings. Under such circumstances, Perelman is not in the field of number theory It's not enough to make rapid progress.
"I have a problem. It's the 21th formula in the 5th line on page 6 of the thesis." A young man sitting in the front raised his hand, and saw the handwritten copy he carried with him. The mathematical symbols that he only understands, in fact, this question is just one of the few questions he wrote down.
Everyone looked at the questioner. It was the famous German mathematician 'Schulz'. Now Schulz has been hailed as the successor of Faltings. He is a popular candidate for this award and enjoys a high reputation in the world.
Then everyone looked at Perelman and Qin Yuanqing on the stage.
In fact, during this period of time, everyone has communicated. The paper "Proof of the Quasi-Riemann Conjecture" written by Perelman is too salty and difficult to understand, and there are even jumps in many places, so Mathematicians who are closely connected with each other are constantly communicating, but even so, there are still many problems that cannot be solved.
As scholars, we all know very well that finding a logical loophole is far easier than setting up an impenetrable net.It is actually very difficult to resolve everyone's questions in a short report meeting.
When Wiles proved Fermat's last theorem, it took a full year to remedy the loopholes in the proof and answer the reviewers' questions.
It is often easier to find bugs than to fix them.
Just like destroying is often much simpler than building.
In the past, the thesis written by Qin Yuanqing had a tight thinking logic and was very detailed, so doctoral students could understand it, and even many graduate students could read it. Although the papers were relatively long, everyone liked this style very much. It will be difficult.Even if there are some things that I don't understand or understand, when I get Qin Yuanqing's answer at the academic report meeting, I often get everyone's unanimous approval and warm applause.
But now this article on "Proof of the Quasi-Riemann Conjecture" was written by Perelman, and it is full of Perelman's style. The size of the whole paper is less than one-third of that of Qin Yuanqing. It is extremely brain-burning, and there are many things that everyone does not understand and do not understand. This is naturally a loophole or a fundamental logical error that everyone subconsciously believes exists.
Now Schultz, who is just young and energetic, couldn't help asking questions first, so everyone wanted to see how Perelman answered.
Once the academic report meeting fails to answer some questions, it must be re-examined and answered after the report meeting, otherwise the mathematics community will not dare to admit the correctness of the paper.
(End of this chapter)
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