Shen Qi returned to the apartment and began to work on the manuscript.

Based on the "Shen matching method" of the Riemann conjecture, the first expression of ζ(s) is derived: ζ(s)=e^A+Bs∏∞n=1(1-s/ρn)(1-s/1-ρn)e^(s/ρn+s/1-ρn).

In order to derive this expression, Shen Qi, Mary, and Jonas wrote a total of 27 pages of paper drafts, of which Shen Qi contributed 50%, and Mary and Jonas contributed the remaining 50%.

Shen Qi pondered it repeatedly, and through more concise descriptions and arguments, he condensed the 27-page manuscript into 20 pages.

The second expression is: 0=e^A+Bss∏∞n=1(s-ρn)(s-1+ρn)e^(s/ρn+s/1-ρn)

In order to derive the second expression, Shen Qi and Faltins wrote a total of 10 pages of paper drafts, and Shen Qi and Faltins contributed half and half.

Shen Qi pondered too much to simplify the second expression through more concise descriptions and arguments.

10 pages is already the most extreme condensation, and Shen Qi has not changed a single symbol. This shows the skill of Professor Faltins, after all, he is a Filipino laureate and has been engaged in mathematical research for more than 40 years.

Shen Qi should be grateful to Professor Faltins, Mary and Jonas, who have made important contributions to this topic, otherwise Shen Qi would not have been able to get the two core expressions in such a short period of time.

The significance of the two core expressions of ζ(s) is that Shen Qi can announce to the world: "My team and I have preliminarily proved that the Riemann hypothesis is true!"

The premise of the two expressions is the "Shen matching method", which is a new processing method created by Shen Qi.

Without this new matching method with soul significance, you can't get the next two expressions.

From any point of view, Shen Qi is the soul of the team.

Of course, his team members and technical advisors were also very helpful, and everyone worked together to complete the preliminary research results of the Riemann hypothesis.

A level 12 mathematician may not be able to solve the Riemann conjecture, but a level 12 math master, with the support of the Philippine Prize winners, professors, doctoral and doctoral students in mathematics, and the entire Department of Mathematics of the University, the whole team has achieved certain research results.

Shen Qi originally thought that the preliminary proof of the Riemann conjecture would require a long argument, but he didn't expect it to be done in 30 pages.

So the idea is the most important, the logic is the most reliable, the imagination is the most precious, and in addition, a little inspiration and luck are needed.

These 30 pages are very valuable, and Shen Qi believes that once published, it will have a certain impact on the number theory community and the entire mathematical community.

The manuscript was completed by Shen Qi alone, so he was the only one who mastered the full version of the Riemann conjecture and preliminarily proved it.

There are still 3 days before the Breakthrough Prize & New Vision Prize Award Ceremony and Academic Report Conference, Shen Qi sent the abstract of "Proof of Riemann Conjecture Based on 'Twin Matching Method'" to the Organizing Committee of the Breakthrough Prize & New Vision Prize.

The abstract is only a few sentences, to the effect of: "I, Shen Qi, and my team have preliminarily proved the validity of the Riemann hypothesis through the twin matching method." ”

"Shen's matching method" is the internal name of "twin matching method", and this new processing method has not yet been recognized by colleagues in the mathematics community, so it is more intuitive to call it "twin matching method".

The organizing committee was shocked, and the chief technical consultant they hired called Shen Qi with a phone call: "Mr. Shen, what are you kidding!"

Shen Qi said calmly: "Mr. Jackson, I am very serious, and I am not joking. ”

"You, Shen Qi, have proved the Riemann conjecture?"

"Yes, I, Shen Qi, have proved the Riemann conjecture, and preliminarily proved the Riemann conjecture. Due to confidentiality considerations, I can only submit abstracts to the organizing committee before I make a formal presentation. ”

"Do you still need to report on the 'Mill-Shen theorem' and the supplementary proximity theorem in Banach space?"

"I have 45 minutes to report, the first 20 minutes, I will report "Muller-Shen Theorem and Supplementary Near Forcing Theorem in Banach Space", and the next 25 minutes, I will report "Riemann Conjecture Proof Based on 'Twin Matching Method'", and ask the organizing committee for approval. ”

"Mr. Shen, I can approve the first 20 minutes now, and I need to confirm with your Director Peverman at Princeton for the next 25 minutes. ”

"No problem, I'll wait for your reply. ”

Shen Qi had reported to Director Peverman beforehand that there were no problems within the Department of Mathematics of the University.

The attitude of the organization is very clear, Shen Qi, you go to pretend to be B, and the organization is responsible for what happened.

Ten minutes later, Mr. Jackson from the organizing committee called again: "Mr. Shen, I am looking forward to your report in the next 25 minutes, see you in three days!"

The day before leaving for Washington, Mueller's office.

Shen Qi made the 30-page "Riemann Conjecture Proof Based on the 'Twin Matching Method'" publicly public, and he made a report, which was equivalent to a dress rehearsal.

Muller, Mary, and Jonas were all excited to see the full version of the document for the first time, but they also kept their senses and looked forward to it.

"Qi, with the technical support of Greid and Elon, you, Mary, and Jonas have preliminarily proved the Riemann conjecture through the 'twin matching method' with two core expressions, and I am very happy for you. ”

"But the core problem of the Riemann conjecture, that all non-obvious zeros are located on a straight line with the complex plane Re(s)=1/2, these two expressions can be supported, however, we also need the support of support, I say so, can you understand?" Professor Müller raised the most crucial question, the problem of fully proving the Riemann conjecture.

"So we have to get a third or even a fourth expression, and it's going to take a little bit of time. Either way, we should have made the first two core expressions public, in a form that was simplified enough, and yes, we did, thanks to Professor Müller, and Mary and Jonas for all their hard work. Shen Qi's idea is to occupy a pit position first, and his team was the first to use the "twin matching method" to get the preliminary proof of RH, and they have the original academic copyright.

"I didn't make any real contributions, but if you can win the New Horizons Award and receive an invitation to the International Congress of Mathematicians at the IMU, you'll have to treat Mary and Jonas to a nice bottle of wine. Professor Müller said.

"Jonas, in the past, you invited me to drink, but this time it is my turn to be the east, whether I win the award or not, this bottle of good wine will not be less. Shen Qi said to Jonas.

"Oh, that's a deal. Jonas smiled.

"Mary, drink together, for the sake of the Riemann conjecture. Shen Qi said to Mary.

"The premise is your report, don't mess it up. Mary accepted the invitation.

"Riemann Conjecture Proof Based on 'Twin Matching Method'" is no longer Shen Qi's business alone, and the whole team devotes all their energy to overcoming the problem.

Therefore, the performance in the next few days must only succeed, not fail.

The next day, Professors Shen Qi, Jonas, Mary, and Muller dressed in their most formal costumes and headed to NASA headquarters in Washington, D.C., where the Breakthrough Prize was held and awarded.

The history of the Breakthrough Prize is not long, but it is extremely generous.

The sponsors of this award include Russian billionaire Yuri Milner, Ali Group Jackma, Google founder Serge Brin, Facebook founder Zuckerberg, Apple Chairman Levinson and other world-renowned entrepreneurs.

The Breakthrough Prize consists of the Breakthrough Prize in Life Sciences, the Breakthrough Prize in Basic Physics, and the Breakthrough Prize in Mathematics, with each prize being up to US$3 million.

In addition to the $3 million award, there are also the New Horizons in Physics Prize, the New Horizons in Mathematics Award, and the $100,000 prize money awarded to young physicists and mathematicians.

Shen Qi is on the shortlist for the New Horizons Prize in Mathematics, where he is expected to win the prize and a $100,000 prize.

Before that, Shen Qi needed to give a 45-minute academic presentation, and strive for the New Vision Award and the world's recognition through his performance.