I really just want to be a scholar

Chapter 592 Riemann's treasure map is another important piece!
Under the eyes of everyone, Riemann's conjecture proves that the final review defense has officially begun!

All the review experts looked serious, and the chief judge of the jury, Professor Bertus Otero, who was 78 years old at the time, even showed a certain sacredness and solemnity on his face.

The dignified atmosphere caused the audience in front of the screen to subconsciously stop typing on the keyboard, and the barrage and comments in the live broadcast room suddenly decreased by half.

In this silence, Professor Bertus Otero said: "Professor Qin Ke, I want to make sure that our questions will involve all your papers related to the Riemann Hypothesis, please start now Do you want to retrieve the original manuscript for future reference?"

Qin Ke smiled confidently: "No, I have all the information related to Riemann's conjecture in my mind."

The barrage finally came to his senses, and a series of "666666" filled the screen.

Professor Bertus Otero nodded slightly, and looked at Professor Enrico Bambieri, the judge sitting in the far left of the first row: "Professor Bambieri, you should start first."

Professor Enrico Bambieri is a tenured professor of mathematics in Princeton and an expert in analytic number theory. He won the Fields Medal at the age of 34 and is 76 years old this year. He is only better than the chief judge Bertus Otero Two years younger, he is also a heavyweight authority in analytic number theory, and the weight of speaking in the IMU is a bit heavier than that of Faltings.

The old man's voice was a little hoarse. He put on his reading glasses and asked slowly: "Professor Qin Ke, when you deduced the fourth set of expressions, you quoted the nonlinear stochastic differential equation in the ninth formula on page 17. The mean square stability of the Milstein method, thus obtaining the difference equation Xn+1=X0+hf(tn, Xn)+g(tn, Xn)ΔWn+1/5∑Pi, I would like to ask, why you didn’t Considering a complete probability space and an m-dimensional standard Wiener process? Is it an omission?"

Academician Tian Jianlan and Ning Qingyun in the audience had printed papers in their hands, and they immediately turned to the corresponding pages to take a closer look.When Professor Enrico Bombelli first appeared in front of the camera, he looked very amiable with a smile on his face. Who would have thought that his first move would be an incomparably fierce killer move, directly cutting into a very subtle but crucial point.

If Qin Ke can't answer, although it will not completely overthrow his derivation process, it will take a lot of time to repair it, which will also be pointed out that his derivation is not rigorous and not perfect.

Just when a group of professors in the Department of Mathematics were sweating for Qin Ke, and mathematicians from all over the world in front of the screen cast attention, gratitude, worry, or expectation on Qin Ke, Qin Ke smiled slightly: " It's not missing, it's unnecessary."

He turned around and pulled the whiteboard, held the erasable writing pen, and began to write: "Professor Bombelli, you should have seen that I have a premise in the 15th calculation? That is Equation 11 There is a unique solution. According to the 7th extended inference of the Euclidean vector norm, I directly wrote out the one-dimensional case of mean square stability in the 16th formula, that is, E(ΔWn)=0, E(ΔWn)^2 =h, E(ΔWn)^4=3h2^2..."

Qin Ke wrote down five formulas in a row, then turned around and said with a smile: "When I was writing the 15th to 17th formulas, I compressed these five formulas into the equivalent 16th formula, which is enough to deduce the 17th formula. May I ask if you Under such circumstances, why is it necessary to consider the complete probability space and the m-dimensional standard Wiener process? This will only take a detour, and there will be seven extra calculations as the derivation process, which seems to be long-winded instead, do you think this is the truth? "

Professor Enrico Bombelli stared at Qin Ke's five calculations for a while, and finally nodded. He opened the notes in his hand and continued to ask: "On page 31 of the same paper..."

He asked five questions in a row, and Qin Ke explained them accurately. In the end, Professor Bumperi showed a gentle smile again, nodded and said: "Yes, I am very satisfied with your answer. I have no other questions here. .”

Both Professor Bombelli's questions and Qin Ke's answers were too professional. No matter whether they were watching on the spot or in front of the screen, less than one percent of people could barely understand and fully understand Qin Ke. The meaning in the words was less than one ten thousandth, but everyone could understand Professor Enrico Bambelli's answer. For a moment, countless people who cared about Qin Ke breathed a sigh of relief, and then there was a lot of applause and applause sounded in front of the screen.

A series of barrages continued to pop up.

[Stunning my god Qin, I couldn't understand it at all, but I watched it with gusto, and even felt excited to watch the World Cup. Is this the charm of academics? 】

【No, I think it's Qin Shen's ease in answering the old man's question that made me feel refreshed from the bottom of my heart. 】

[In normal times, it would be considered a foul for such an old expert to ask a question to a 20-year-old young man, right?Seeing him nodding and acknowledging Qin Shen's answer, I felt an inexplicable sense of accomplishment.Brave, young mathematicians of our country! 】

[Anyway, I don’t understand, so I’ll just watch the fun and pray that God Qin will not be overwhelmed by the question, and the proof of Riemann’s conjecture must be admitted! 】

The netizens in front of the screen were flying like fingers, but Qin Ke in the live broadcast room began to face the bombardment of the other 29 experts in turn. In the blink of an eye, more than an hour passed, including Professor Faltings, Linden Strauss Professor, Professor Wiles, and Professor Deligne have all stood up and asked questions.

Qin Ke didn't even have time to drink his saliva during the whole process. He was either answering or writing, but he always looked calm. No matter how the experts asked him, he could answer them fluently. None of the nearly forty questions made him think for a moment.

Seeing Qin Ke talking eloquently, and the expert judges who asked the questions sat down either with amazement, unwillingness, or approval, the audience in front of the screen finally let go of most of their suspenseful hearts.

【My god, I just had time to drink some fruit juice. I obviously couldn't understand it at all, but I felt nervous about being there. I was afraid that God Qin wouldn't be able to answer any tricky questions those foreigners asked.Fortunately, it seems that those foreign experts are showing mercy now? 】

[Please be merciful, P, you didn’t see the ferocity of the mathematics professor from Japan when he asked the question just now, and even the Eratosthenes screening method was used to ask questions. As a mathematics professor at Nant It is an ancient sieve method proposed by the astronomer and mathematician Eratosthenes in the 3rd century BC!He also had the nerve to use it to criticize Qin Ke!Of course, what surprised me the most was that Qin Ke actually answered in seconds!The knowledge of this talented young mathematician is so profound that even my mathematics professor who has taught for 20 years is ashamed of it.Today I finally understand why Qin Ke is so sought after on the Internet. It is indeed a rare event in a hundred years, no, it is a top math genius in our Xia Kingdom that is a rare event in a thousand years! 】

[Upstairs is actually a professor of mathematics!amazing!Now there are still many live broadcast rooms outside that originally planned to interpret the defense process at the same time, but now they are all closed, because from the very beginning of the question, few people can explain it accurately, my God, this time is really a top expert duel. 】

[Hey, I watched this live broadcast as a martial arts movie. Qin Ke single-handedly fought against [-] top masters, including Dong Xie, Xi Du, Nan Di, Bei Beg, Zhong Shentong, etc. Qin Ke held Qingfeng , with no tricks to win with tricks, he has defeated nearly twenty world-renowned grand masters, and he has not lost a single defeat, and he is still calm...]

[Hahaha, I also tried to substitute a martial arts movie, and the viewing effect immediately increased dozens of times. 】

[Uh, Qin Ke is still a little sweaty and his face is a little pale. I speculate that Qin Shen is a little tired and mentally exhausted. He has been bombed intensively for more than an hour. If it is someone else, he might be early If he couldn't hold it anymore, then only Qin Shen could hold it. 】

[Yes, it looks a little too much. Although Qin Shen can always answer in seconds, I feel inexplicably sad in my comfort. 】

【Look, Professor Tao asked a question. I heard that he and Qin Shen are good friends, so he probably wouldn't make things difficult for Qin Shen. 】

[It's hard to say, on such an important occasion, personal friendship is secondary. 】

On the screen, it was indeed the turn of Professor Tao, the youngest winner of the Philippine Award in the jury, to stand up and ask a question. He asked a very formal question: "Professor Qin Ke, after you completed the derivation of the fifth set of expressions, you said that this is right The integration of Mr. Riemann's mathematical system, Riemann's conjecture is an attempt by Mr. Riemann to unify mathematics. I agree with your views, but many of Mr. Riemann's mathematical views have not been fully confirmed yet, such as no freedom The very curved Riemann space of the concept of movement requires the introduction of the general theory of relativity to understand it, otherwise it cannot be explained at all. I would like to ask you what do you think of such a situation where mathematical theories need physical theories to explain?"

This question is difficult to say, because there is no standard answer, and Professor Tao did not embarrass Qin Ke, but this question must be something that Professor Tao, who has always pursued novelty and curiosity, has been thinking about.

Qin Ke finally pondered a little this time before answering: "As we all know, mathematics is a tool, and physics uses tools to explore the rules of nature. It seems that the cart before the horse is indeed put the cart before the horse to explain the Riemannian space in a specific situation through physical theory. Don't forget that the general theory of relativity was created by Einstein using Riemannian geometry and tensor analysis tools, and the basis is still Riemann's mathematical theory. And in Riemann's handwritten notes, there are actually related incomplete contents, but this Some of the content is kept in the Deguo National Museum and has not been made public, you may not have seen it, and I only know this part because I was fortunate enough to receive a photocopy from the Deguo National Museum."

He turned around as he spoke, and began to write on the whiteboard: "In the Riemannian space, the inverse vector Tμ≡gμνT^ν at a certain point..."

Qin Ke wrote nearly twenty calculation formulas, and said: "Because Riemann's handwritten notes are missing, the original text ends here, and I completed it later."

"When det|gμν|≠σλ^ν..."

He wrote while explaining, and quickly filled the entire whiteboard, and the staff next to him quickly replaced it with a new whiteboard.

Looking at the calculation formula written by Qin Ke, the judging panel at the IMU headquarters looked more and more serious. Later, many people couldn't sit still. Including Professor Tao, everyone stood up obliviously and just stared at the opposite side of the screen. Complicated calculations on a large whiteboard.

The very curved Riemann space without the concept of free movement was once questioned by the mathematical community because it was too esoteric when Riemann just announced it. Not only three-dimensional geometry, but also four-dimensional geometry and even higher-dimensional geometry were regarded as fantasy. It was not until Einstein established the general theory of relativity that these theories were slowly accepted by the mathematical community. At that time, Riemann Nearly 50 years have passed since the super mathematical genius passed away.

Riemann's mathematical theory is 50 years ahead of the times!

Even today, including the Riemann conjecture, many of the problems left by Riemann have not yet been solved or proved. Even "a very curved Riemann space without the concept of free movement" is only from the broad sense of physics. It can be understood in the theory of relativity, but it cannot be fully explained through mathematics.

Although there are some manuscripts of Riemann in the National Museum of Germany, but because they are incomplete, it is meaningless to publish these contents, so they have been unknown to the world.

And now, the young mathematician of the Xia Kingdom, who has almost been confirmed to have cracked Riemann's conjecture, actually wants to complete the missing manuscript of Riemann. Excited by the math gurus within?
Qin Ke wrote for a full 10 minutes this time and changed three whiteboards, but no one wanted to interrupt him.

After Qin Ke finished writing, he turned his head and wiped the sweat on his forehead, and a confident smile appeared on his pale face due to excessive energy consumption: "Look, this is the part I completed, Professor Tao, I hope this can let you Find the answer you want."

Professor Tao was stunned for a while, and then clapped vigorously: "AWESOME! (abbreviation for Amazing Wonderful Exceptional Smart Outstanding Excellent, which means brilliant, smart, and excellent)! Qin Ke, you are the most amazing person I have ever seen. Genius mathematician, no one! I don't have any questions, I unreservedly recognize your academic achievements on Riemann's conjecture, that's it!"

Not only him, even the rest of the judges applauded excitedly.

"Really remarkable, genius addition."

"Riemann's treasure map is another important piece."

In the small conference room of Qingmu University, Mr. Qiu and Academician Tian Jianlan also applauded vigorously, and the rest of the mathematics professors were also moved by the sound. The school leaders and department leaders actually couldn't understand it, but the atmosphere could still be understood. Busy applause.

Ning Qingyun looked at her boyfriend with sparkling eyes, and her pretty face couldn't hide her pride and pride.

The audience in front of the screen was still in a state of ignorance. Seeing that the judges and experts were all applauding, they didn't know what was going on.

[Who can tell me what happened? 】

[Who am I, where am I, why am I here? 】

[It's too brain-intensive to explain, but simply put, Qin Shen conquered these judges! 】

【God Qin is amazing!It exploded!Awesome! 】

The barrage was full of joy, and the chief judge on the scene, Professor Bertus Otero, motioned for everyone to be quiet first, and then asked with a smile: "Professor Qin Ke, as far as I know, Riemann's handwritten manuscripts are seriously missing, and the deficiencies existing in the world Half of it, are you sure you can make it all up?"

Qin Ke shook his head. When Professor Otero was a little disappointed, Qin Ke said: "There is no need for me to complete everything."

"Huh?" All the experts looked at Qin Ke.

"Because the new system I established based on Riemann's conjecture has basically included Mr. Riemann's most essential and valuable mathematical thinking and mathematical achievements, and the rest of the unpopular parts are handed over to other mathematicians. Let’s explore, and hope that more and more mathematicians can work together to excavate this common and precious mathematical heritage of mankind.”

Everyone thinks that the reason why mathematics continues to progress is that new methods and new theories are created in the constant excavation of the legacy left by the predecessors.

The chief judge, Professor Bertus Otero, laughed, and turned to look at the rest of the judges: "I don't have any other questions to ask, how about you?"

"We're gone too."

Professor Tao joked with a smile: "I have already been conquered by him, how dare I ask questions?"

All the judges laughed.

Professor Otero waved his hand: "Then let's start voting."

　Thanks for the rewards of "Want to be a lazy fish" and "Mr. Zhang who is fattening"!So happy to be rewarded! (Crazy hints with eyes)

　　
　
(End of this chapter)