I just want to be a quiet scholar

Chapter 213 New Ideas for the Riemann Hypothesis
The seven millennium math puzzle is really hard to crack.

At present, only the Poincaré conjecture has been conquered. The Russian mathematician Perelman thoroughly proved the Poincaré conjecture on the basis of the mathematical genius Lu Qiujian.

The Riemann Hypothesis was put forward in the 19th century, spanned the entire 20th century, and is still indestructible today in the 21st century.

Any mathematician who studies number theory has the desire to prove RH, which will be a feat that will be recorded in history.

As difficult as Gechai's proof process is, RH has not been fully proved after three centuries.

The 1+1 of Ge Guess has not been proved, but Mr. Chen Jingrun has proved 1+2, which is the closest result to Ge Guess.

One step in place completely proves that RH and Ge Guai are not easy things to do, and history shows everything.

Periodic proofs of RH by mathematicians continued for centuries.

Regarding the expression formula of the Riemann zeta function ζ(s), for any complex number, if Re(s)>1, then:

ζ(s)=Σn^-s=∏(1-p^-s)^-1
Where n is a natural number and p is a prime number.

Mathematicians have exhausted all means, from Euler's classical formula to Bernoulli number, and then to Ramanujan's formula for positive odd numbers, and finally made important progress in stages, k=3 , 5 and the special cases of k=4, 6, 7 have been recognized by all contemporary mathematicians.

Now, there is still a bridge between the staged progress and the full proof of RH.

The key bridge connecting the previous and the next is the two recursive formulas of ζ(2n+1).

If the two recursive formulas of ζ(2n+1) can be proved, then Shen Qi believes that Professor Muller's team is not far from finally proving RH.

What excites Shen Qi is that the semi-finished paper in his hand is the proof of the two recursive formulas of ζ(2n+1).

The framework of the paper was set by Muller, and the specific discussion proof was written by Mary.

Obviously, Professor Muller's strategic direction is correct, but Mary's tactical execution has little effect.

Mary's tactical play is too old-fashioned. According to your calculation and derivation logic, RH should have been fully proved, but it is not the case.Shen Qi returned the manuscript to Muller, saying: "We need a new lemma to prove that the conclusion when k=1 is true, then the two recursive formulas of ζ(2n+1) are expected to be deduced reasonably, So as to launch a general attack on the complete proof of RH."

"Hey, kid, I've thought about it before!" Mu Le's eyes lit up, and he looked at Shen Qi.

"Us?" Mary looked at Shen Qi questioningly, and then said as a matter of course: "Yes, we, this is the subject that Alan and I are studying together."

"Mary, I have a bold idea. I can invite Shen Qi to join our team to jointly study the subject of ζ(2n+1). What do you think?" Muller was very democratic, and he asked his student Mary politely.

"I think we should maintain the status quo, because there is nothing wrong with the status quo." Mary showed a strange expression.

"I'm happy to join Professor Mueller's ζ(2n+1) project team." Shen Qi ignored Mary's questioning expression and directly expressed his determination to Mueller.

"Your main field of study is mathematical physics, and your auxiliary field is algebraic geometry. Shen, don't tell me that you want to add another field of number theory." Mary said coldly.

"Professor Muller is my idol. He is proficient in many fields such as mathematical physics, algebraic geometry, number theory, group theory, etc. My second assistant chooses number theory, which is not bad for me or the whole team." Shen Qi replied.

"Shen Qi, if your girlfriend agrees with you to minor in number theory, I have no problem. I told you before, why don't you choose number theory? After all, you are a student whom Elon praised." Mueller deliberately asked Shen Qi to follow Mary cooperates.

"She will agree." Shen Qi couldn't miss the opportunity to conquer RH with the mathematics research team of Pudong University, and Ouye would definitely agree and support him in doing so.

"Mary, why don't you give Shen Qi a chance, you need his help. You also admitted that you have already cooperated once in your doctoral dissertation by citing Shen Qi's algorithm." Mueller smiled kindly He said, "Shen Qi is an amazing student. He published ten mathematics papers in two years. Mary, the number of papers you and I combined during our undergraduate years is exactly half of Shen Qi's."

Mary was expressionless, and finally agreed to Mueller's proposal. After all, Mueller is the boss of the team.

"Then Shen Qi, from now on you are Mary's assistant, I wish you a pleasant cooperation." Mueller gave the final instruction and ended the meeting.

Shen Qi got a piece of information on the ζ(2n+1) project. He was ambitious and already had a mature idea. He would use an innovative idea to complete the proof of the two recursive formulas of ζ(2n+1).

"You'd better not make trouble for me." Mary asked Shen Qi to go to the cafe on campus for coffee, and the two spent time alone, exchanging plans for the next step of the project.

"Mary, do you think I'm a messy person?" Shen Qi asked back.

"Who knows?" Mary was noncommittal.

"If I'm a mess, so are you, and your PhD dissertation cites my algebraic approximation algorithm. If you did it yourself, you're probably just out of your Ph.D. now, or you won't be until next spring. This algebraic approximation algorithm can’t be calculated in a few months.” Shen Qi stated the fact that this Diophantine equation Walsh’s conjecture paper incident has always been a pain in his heart.

"The paper on Walsh's conjecture on the Diophantine equation is already in the past tense." Mary said lightly, "Tell me, how do you want to carry out the next work on the ζ(2n+1) project?"

"Professor Muller's framework setting remains unchanged, and the specific discussion proves to overthrow and start over." Shen Qi said firmly.

"Are you sure?" Mary sneered.

"Very sure." Shen Qi nodded resolutely, "Mary, I know you are very busy, and you still have to lead tutorial classes for undergraduates and correct their homework and test papers. If you don't mind, ζ(2n+1) I will complete the new discussion of the topic by myself, and I will finish this work before Christmas, rest assured, the co-first author will have your name on it."

"Hahaha." Mary laughed so hard that her stomach hurt from laughing, as if she had heard the most ridiculous joke in the world.

"Arrogance, ignorance, and incorrigibility." Mary took out a $10 bill from the exquisite lady's wallet, pressed it under the coffee cup, got up and left.

"I'll buy coffee." After walking a few steps, Mary turned around and said, "But there are only two co-first authors, Professor Muller and I."

"Then each will show their abilities." Shen Qi spread his hands and said.

"Hmph." Mary left coldly, the cooperation between her and Shen Qi didn't look happy.

Shen Qi published a total of ten papers during his stay at Yanda University. It is such a wealth of scientific research experience that made him the only graduate student in China who enrolled in the Mathematics Department of Pudong University this fall.

For these ten papers, Shen Qi is all the first author, or co-first author.

A paper can have more than one author. The authors below the title of the paper are sorted, counting from left to right, and the first author is the first author.

Shen Qi once put a mark behind the names of himself, Ouye, Sun Erxiong, and Lu Guozhen, and the mark represents the identity of the co-first author.

Then there is the second author, the third author...

If you write a paper without the picture of the first author or the co-first author, then it is still a ghost.

Shen Qi couldn't accept that his name was ranked after the first author, or the co-first author.

Mary didn't want to see Shen Qi, there was nothing to do, Shen Qi could only do it alone.

　Recommend a book "Basketball God"

　　


(End of this chapter)