Under the spotlight, the final review defense of the Riemann Hypothesis proof has officially begun!

All the judging experts looked serious, and the face of the head of the judging panel, the 78-year-old Professor Bertus Otero, even showed some kind of sanctity and solemnity.

The solemn atmosphere made the audience in front of the screen subconsciously stop typing on the keyboard, and most of the comments and comments in the live broadcast room suddenly disappeared.

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. Can we start now?" ? Do you need to retrieve the original manuscript for future reference?”

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

The barrage finally came back to life, and a series of "" filled the screen.

Professor Bertus Otero nodded slightly and looked at the judge Professor Enrico Bombieri, who was sitting on the far left in the first row: "Professor Bombieri, let's start with you."

Professor Enrico Bombieri is a lifelong professor of mathematics at Princeton and an expert in analytic number theory. He won the Fields Medal at the age of 34. He is 76 years old this year and is only better than the chief judge, Professor Bertus Otero. Two years younger, he is also a heavyweight authority in analytic number theory, and his voice in imu is somewhat more important than that of Faltings.

The old gentleman's voice was a little hoarse. He put on his reading glasses and asked slowly: "Professor Qin Ke, when you derived the fourth set of expressions, you quoted the nonlinear stochastic differential equation in the ninth equation on page 17. The mean square stability of the milstein method is used to obtain the difference equation xn, Omitted?"

Academician Tian Jianlan and Ning Qingjun in the audience both had printed papers in their hands. They immediately opened the corresponding pages and took a closer look. The more they looked at it, the more solemn their expressions became. This was when Professor Enrico Bombieri just appeared in front of the camera. He looked very amiable with a smile, but who knew that the moment he made his move, it would be an extremely powerful killing move, directly cutting into a very subtle but critical point.

If Qin Ke fails to answer, although his derivation process will not be completely overturned, it will still take a lot of time to repair, and others will point out that his derivation is not rigorous and perfect.

Just as the professors in the Department of Mathematics were sweating for Qin Ke, and the mathematicians from all over the world in front of the screen were looking at Qin Ke with concern, joy, worry, or expectation, Qin Ke smiled slightly: " It’s not an omission, it’s just unnecessary.”

He turned around and pulled the whiteboard, held the erasable pen, and started writing: "Professor Bombieri, you should have seen that I have an assumption in the 15th calculation, right? That is Equation 11. There is a unique solution. According to the 7th extended inference of the eu vector norm, I directly wrote the one-dimensional situation where the mean square is stable in the 16th calculation, that is, e(Δwn)=0, e(Δwn)^, ^2…”

Qin Ke wrote five calculations in a row, then turned around and said with a smile: "When I wrote the first calculation, I compressed these five calculations into the equivalent 16th calculation, which is enough to derive the 17th calculation. Under such circumstances, what else can I do?

Why is it necessary to consider a complete probability space and an m-dimensional standard Wiener process? This will only take a detour, adding seven more calculations as the derivation process, but it will appear verbose. Do you think this is the truth?"

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

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

."

Professor Bombieri's questions and Qin Ke's answers were both too professional. Whether they were watching on the spot or in front of the screen, less than one percent of them could barely understand and truly fully understand Qin Ke.

The meaning of the words was less than one ten thousandth, but everyone could still understand Professor Enrico Bombieri's answer. For a moment, countless people who cared about Qin Ke breathed a sigh of relief, and then there was a big round of applause and cheers.

rang in front of the screen.

A series of barrages also kept popping up.

[My Qin Shen is amazing. I can’t understand it at all, but I watch it with gusto. I even feel excited about watching the World Cup. Is this the charm of academics? 】

[No, I think it was the ease with which Qin Shen answered the old man’s questions that made me feel comfortable from the bottom of my heart. 】

[In normal times, would it be considered a foul for such an old expert to ask a question to a twenty-year-old young man? Seeing him nodding to acknowledge Qin Shen’s answer, I felt an inexplicable sense of accomplishment. What a great young mathematician in our country.

!]

[Anyway, I don’t understand, so I’ll just watch the fun and pray that God Qin will never be defeated by the question, and the proof of the Riemann Hypothesis must be recognized!]

The netizens in front of the screen had their fingers flying, but Qin Ke in the live broadcast room began to face the bombardment of the other 29 experts. In the blink of an eye, more than an hour passed, including Professor Faltings and Lindenster.

Professor Rouse, Professor Wiles, and Professor Deligne all stood up and asked questions.

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

Watching Qin Ke talk eloquently, and the expert judges who asked questions sat down with either exclamation, unwillingness, or approval, the audience in front of the screen finally relaxed most of their worries.

[Oh my god, I just had time to take a sip of juice. I obviously didn’t understand it at all, but I felt nervous about being there. I was afraid that Qin Shen wouldn’t be able to answer those tricky questions that those foreigners kept asking. Fortunately,

, now it seems that those foreign experts are still showing mercy?]

This chapter is not finished yet, please click on the next page to continue reading the exciting content! [There is actually a mathematics professor upstairs! Amazing! There are many live broadcast rooms outside that were originally intended to simultaneously interpret the defense process, but now they are all closed.

Because from the very beginning of the question, few people could explain it accurately. Oh my god, this is really a duel between top players.】

[Hey, I watched this live broadcast as a martial arts movie. Qin Ke used his own power to defeat thirty top masters such as East Evil, West Poison, South Emperor, Beggar, and Shen Tong in a wheel battle. I saw Qin Ke holding Qingfeng.

, with no tricks to win, there are tricks, and he defeated nearly twenty world-famous grandmasters without losing a single one, and he was still calm and calm...]

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

[Well, if you look closely, Qin Ke still has some beads of sweat and his face is a bit pale. I guess Qin Shen must be a little tired and mentally exhausted. He has been bombarded intensively for more than an hour. If it were anyone else, he would be too early.

I can't hold it anymore, and only Qin Shen can withstand it.】

[Yes, it seems a bit excessive. Although Qin Shen can always answer in seconds, I feel inexplicably sad while feeling comfortable. 】

[Look, it’s time for Professor Tao to ask a question. I heard that he and Qin Shen are good friends, so he shouldn’t make things difficult for Qin Shen. 】

[It’s hard to say, on such an important occasion, personal relationships are secondary.]

On the screen, it was the turn of Professor Tao, the youngest Philippine Prize winner on the jury, to stand up and ask questions. He asked very formally: "Professor Qin Ke, after you completed the derivation of the fifth set of expressions, you said that this is the

The integration of Mr. Riemann's mathematical system and the Riemann Hypothesis are Mr. Riemann's attempts to unify mathematics. I also agree with your views, but many of Mr. Riemann's mathematical views have not yet been fully confirmed, such as the absence of freedom.

The very curvature Riemannian space of the concept of movement requires the introduction of the general theory of relativity in physics to understand, otherwise it cannot be explained at all. I would like to ask you what do you think of this situation where mathematical theory requires physical theory to explain it?"

This question is hard to say or easy to say, because there is no standard answer. Professor Tao did not embarrass Qin Ke, but this question must have been something Professor Tao, who always pursues novelty and is very curious, has been thinking about.

Qin Ke finally thought for a moment before replying: "As we all know, mathematics is a tool, and physics is the use of tools to explore the rules of nature. Using physical theory to explain the Riemann space under specific circumstances does seem to be putting the cart before the horse, but

Don’t forget that the general theory of relativity was created by Einstein using Riemannian geometry and tensor analysis tools. The basis is still Riemann’s mathematical theory. And in Riemann’s handwritten notes, there is actually relevant incomplete content, but this is

Part of the content is collected in the National Museum of Germany and has not been made public. You may not have seen it. I only knew this part of the content because I was fortunate enough to receive a photocopy from the National Museum of Germany."

As he spoke, he turned around and wrote on the whiteboard: "In Riemannian space, the contravariant loss at a certain point tμ≡gμνt^ν..."

Qin Ke wrote nearly twenty calculations and added: "Because Riemann's handwritten notes were missing, the original text ended here. I later completed it."

"When det|gμν|≠σλ^ν..."

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

Looking at the calculations written by Qin Ke, the jury at the imu headquarters looked more and more solemn. Finally, many people couldn't sit still. Everyone, including Professor Tao, stood up in confusion and just stared at the other side of the screen.

Complex equations on a big whiteboard.

The very curvature Riemannian space without the concept of free movement was too esoteric when Riemann first announced it, and its rationality was once questioned by the mathematical community. Just like when Riemann extended the concept of surfaces to manifolds, it confirmed the space

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, they were far away from Riemann.

Nearly 50 years have passed since the death of this super mathematical genius.

Riemann's mathematical theory was fifty years ahead of the times!

Even today, including the Riemann Hypothesis, many of the problems left by Riemann have not been cracked or proven. Even the "very curvature Riemann space without the concept of free movement" can only be understood in 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 by Riemann in the German National Museum, they are incomplete and there is no point in publishing them, so they have not been known to the world.

And now, the young mathematician from Xia who has almost been confirmed to have cracked the Riemann Hypothesis actually wants to complete the missing part of Riemann's manuscript. How can he not allow Faltings and Deligne to be included in the manuscript?

Are the math masters inside excited?

Qin Ke wrote for ten full minutes this time and changed three whiteboards, but no one wanted to interrupt him.

After Qin Ke finished writing, he turned around and wiped the sweat from his forehead. A confident smile appeared on his pale face due to excessive energy consumption: "Look, this is the part I have completed. Professor Tao, I hope you can make it here."

Find the answers you want.”

Professor Tao was stunned for a while, then clapped vigorously: "ing woional smart outsta, which means brilliant, brilliant, outstanding)! Qin Ke, you are the most talented mathematician I have ever seen,

No one! I don’t have any questions. I unreservedly recognize your academic achievements on the Riemann Hypothesis, that’s it!”

Not only him, but also the other judges applauded excitedly.

"Really amazing, a genius addition."

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

In the small conference room of Qingmu University, Mr. Qiu and Academician Tian Jianlan also clapped vigorously, and the other mathematics professors also moved when they heard the sound. The school leaders and department leaders actually couldn't understand it anymore, but the atmosphere was still understandable.

He hurriedly clapped along.

This chapter is not finished yet, please click on the next page to continue reading the exciting content! Ning Qingyun looked at her boyfriend with sparkling eyes, her pretty little face could not conceal her pride and pride.

The audience in front of the screen was still in a state of confusion. Seeing the judges and experts 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 laborious to explain. To put it simply, Qin Shen conquered these judges! 】

[Qin Shen is amazing! So awesome! So handsome! 】

The barrage was full of excitement. The chief judge at the scene, Professor Bertus Otero, signaled everyone to be quiet first, and then asked with a smile: "Professor Qin Ke, according to my experience, there is a serious lack of Riemann's autographed manuscripts, and there are no existing manuscripts in the world.

It’s less than half, are you sure you can make up for it all?”

Qin Ke shook his head. Just when Professor Otero was a little disappointed, Qin Ke spoke: "There is no need for me to complete it all."

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

"Because the new system I established based on the Riemann Hypothesis has basically included Mr. Riemann's most essential and valuable mathematical thinking and mathematical results, and the rest of the unpopular parts will be left to other mathematicians.

Let’s explore, and I hope more and more mathematicians can dig into this precious mathematical heritage common to mankind.”

Everyone thinks so. The reason why mathematics continues to progress is because it creates new methods and new theories by constantly exploring the legacy left by its predecessors.

The chief judge, Professor Bertus Otero, laughed and turned to look at the other judges: "I have no other questions to ask, what about you?"

"We are gone too."

Professor Tao smiled and joked: "I have already been conquered by him, how can I dare to ask questions?"

All the judges laughed.

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

/

Please remember the domain name of this book:. Novels of Strange People of the Republic of China
Chapter completed!