Chapter 296: Wyles' Experience
News reports about Shen Qi were quickly released.
"Chinese mathematician Shen Qi has added another prize, and the Ramanujan Prize is Shen Qi's sixth mathematics prize in two years!" - news report from the Chinese channel and English channel of China Central Radio.
"The Chinese key opens the door in Italy, the Ramanujan Award is in hand, will the Fields Medal be far away?" --- report from CNN.
"The youngest Ramanujan Award winner, Shen Qi, the key to China, has broken the record held by Pete Schultz. - from the report of the Italian media Ansa Agency.
Pete Schultz was 26 years old when he won the Ramanujan Award, setting a new record for the youngest laureate at the time.
Just now, the younger Shen Qi broke Schultz's record.
System: "New Achievement!" The host won the A-level mathematics award Ramanujan Award, becoming the youngest winner in history, with a basic reward of 1 million points, multiplied by a coefficient of 2.0 in mathematics, and the final reward of 2 million points. The balance 9377510 points for Xueba, please confirm with the host. ”
Shen Qi finally won an A-level mathematics award, and the condition for promotion to mathematics level 14 is two, and the progress is 1/5.
The progress of Condition 1 is close to 1/2, and the progress of Condition 3 is still 0%.
The next day, in the ICTP lecture hall, Shen Qi delivered a keynote report on "The Latest Research Progress of RT Third Expression".
Winning the sixth mathematics award, and the A-level Ramanujan Award, Shen Qi played with grace on the podium: "My team and I got this equation after taking the real part of the zero-point expansion of -ζ'/ζ(s). ”
The formula on the big screen is:
-Reζ’/ζ(s)=σ-1/∣s-1∣^2-∑ρσ-β/∣s-ρ∣^2+O(1/λ(s)+log(∣s∣+2))
The audience was attentive and quiet.
Shen Qi calmly said: "Let's review the definition of Shen's twin matching method, let the non-obvious zero-point set of the Riemann ζ function be: {ρ1,1-ρ1,ρ2,1-ρ2,...... ,ρk,1-ρk,...... ρn,1-ρn}, the collective formula is shown as follows: where two non-obvious zeros with the feature of 'sum value is 1, the absolute value of the imaginary part is the same', they are matched as a pair. ”
“...... Combined with this equation, where ∑ρ denotes the sum of any number of non-obvious zeros, and I take only one term ρ=ρ0 in ∑ρ, so that there is a normal number c1 such that ζ(s) has no zero point in the region σ≥1-c1log^-1(∣t∣+2). ”
"In other words, we have got the best non-zero region of ζ(s) so far!" Shen Qi turned from slow to fast, and the rhythm of his speech became sonorous and powerful.
Wow!
The lecture hall instantly erupted from silence to thunderous applause.
Shen Qi's eyes were burning and he said unswervingly: "In the report just now, I listed four ways to verify the third expression, although it is only framework, although we have not yet found the third expression of the ζ (s), but we are not far from success!"
"It is not difficult to predict that once the third expression is verified, the value of Riemann's theorem will increase exponentially!"
"I know, I have a nickname called the Chinese key, and in my opinion, the third expression is this precious key, and I, who is just the gatekeeper, is in charge of managing the key. Thank you for listening, my report is over!" Shen Qi bowed and thanked him, ending the report.
The audience stood up, and mathematicians from ICTP, IMU, and various countries applauded and applauded from the bottom of their hearts.
Shen Qi's conference report, "The Latest Research Progress of RT Third Expressions", was widely studied overnight.
The German science and education media exclaimed: "China has made a move! Shen Qi has launched an offensive in Europe!"
A little over a week ago, Schultz received the Keith Medal in Edinburgh and published his latest report, the Hodge conjecture. For a while, Scholz was in full swing, and he was already red, but he was already purple to black.
At this time, Shen Qi crossed the Atlantic to Europe, and used his strength to announce to the European and international mathematical circles that the battle had just begun, and the good show was ahead.
After the report meeting, Shen Qi had a long talk with Andrew Wiles.
"Great presentation. Wiles first affirmed, and then added: "But I still have doubts, strange, you have the best non-zero region of ζ(s) so far, which is of great significance." However, based on this result, you did not achieve the final result, which I would like to see. ”
Ginger is old and spicy, and Wiles can see through the essence at a glance.
Shen Qi knew that Wiles would say this, and he smiled: "Professor Wiles, the results you want to see are also the results I want to see, and they are still in gestation." ”
"Odd, following your logic, after getting the best non-zero region of ζ(s), you set up four ways to verify the third expression of RT. I understand that these four approaches are the four mathematical tools, and in your report yesterday, you didn't explain in detail how to use the four tools, but just threw out a conceptual framework. ”
"The first three approaches have a name and basic definition for the function logζ(s), the fundamental theorem of prime numbers, and the zero-point equation. And the fourth pathway, which you name the 'fourth way', doesn't have any definition. So you're in trouble?" Wiles asked.
Shen Qi stopped smiling, he did encounter a little trouble.
"In the face of pure number theory, I am actually a layman. But my instinct as a number theory layman tells me that you're in trouble. Wiles said.
"No, you're not a layman, you're a genius. "Shen Qi has studied Wyles' proof of Fermat's theorem many times, and Wiles has used algebraic geometry to prove Fermat's theorem, a problem in number theory, how can such a person be a layman.
"Strange, you know, I spent a whole decade in Princeton studying Fermat's theorem, and I only did one thing in those ten years--- proving Fermat's theorem, damn Fermat's theorem. ”
"When I finished that 200-page paper, I was 41 years old. Wiles recalls the fact that he was the only winner in the history of the Fields Medal to be over 40 years old, and he won the Fields Special Prize at the age of 45 for his successful proof of Fermat's theorem.
"The most fatal thing was that Mathematical Inventions rejected my 200-page paper, and I was in despair, which hit me very hard, and I gave everything in ten years, only to get a pile of useless garbage. At that time, I even thought about suicide. Wiles, who was in his seventies, said this in an unusually calm tone.
And Shen Qi, the observer, listened with a sour nose.
Wiles patted Shen Qi on the shoulder and said, "Qi, the trouble I encountered at that time was greater than the trouble you are now. ”
"Professor Wiles, we all know what happened next, you successfully proved Fermat's Great Theorem and won the Fields Medal. How did you solve that big trouble?" asked Shen Qi curiously.
Wiles looked up at the sky: "I remember that night, I was so drunk, I burned page by page, I wrote ten years of papers, 200 pages of papers. ”
"When I got to page 188, I suddenly came to my senses, and I had never been so awake in my life. ”
"Then within 20 minutes, I deduced the core logic that proved Fermat's theorem. ”
"The new paper was only 130 pages long, and this time it went well and was recognized all over the world. Wiles looked at Shen Qi and imparted valuable experience.
Shen Qi: "......"