Chapter 452: Chapter 148 This Isn’t Paranoia, It’s Confidence_4
However, speaking of which, someone else doing the verification work means that he himself has to handle these transformations.
After all, transforming the problem requires a very clear understanding of this axiomatic system and a high level of mathematical insight.
Similarly, solving the Riemann Conjecture follows the same steps. First, convert the classic statement into a geometric representation within this framework, decompose the problem, and then prove each part.
This step actually went quite smoothly.
In fact, the transformation of the Riemann Conjecture is even simpler than the Twin Prime Conjecture.
Moreover, in classical interpretation, all zeros are distributed on a line. In the modal space, they are distributed on a hyperplane.
Of course, completing the transformation does not mean the problem can be solved immediately; there are still many things to define to achieve this step.
For example, modal density, convolution, and other geometric tools. In short, after geometrizing and modalizing the problem, Qiao Yu knew which tools were needed to solve this problem, and then went on to prove and transform them within the framework.
Qiao Yu did not intend to build the entire theoretical framework completely, unlike what those professors on the opposite side thought, or even Director Tian and Elder Yuan thought. He planned to build as needed.
Determine which tools are needed to prove the Upper Bound Conjecture, first derive the necessary tools in the form of theorems, and then prove the problem.
Then see which new tools are needed for the Twin Prime Conjecture, proceed to the next stage of derivation, and then start the proof…
The benefit of doing it this way is naturally being able to publish the most papers, and no one can even say he is churning out low-quality papers.
Whether it is introducing new tools or solving new problems, these are the things most loved in the mathematical community. Even the Langlands Program is composed of many sub-conjectures.
This is actually why Qiao Yu is not very interested in applying for funds. After all, even if he gets the funding, the money is not in his personal account.
Instead, it will be deposited in the research center’s account, then allocated to a sub-account as needed for spending. Not to mention that the funding generally allocated to pure mathematical theories is not much.
It is mainly a matter of reputation. But Qiao Yu feels he is not in such a hurry for fame. There is even less need to rush to build the framework to benefit the mathematical community.
After all, the research progress in theoretical mathematics in Huaxia is still far behind the West. Once he contributes this new axiomatic system completely, the likelihood is high that others will first use it to prove some frontier propositions.
After completing this foundational work, Qiao Yu stretched lazily. He planned to ask others about their progress on WeChat.
Yesterday, he specifically created a group chat, adding Qiao Xi, Xue Song, and Chen Zhuoyang to a discussion group for task assignment.
Then he saw a new email alert in his work inbox, it was an email from Professor Zhang Yuantang, and he instinctively clicked it open.
Even though he now has some fame in the mathematical community, the usual email exchanges are not that frequent.
The majority are internal email communications from Professor Li’s research group at Huaqing.
As for other big names, they only occasionally send an email. They discuss some issues, which is related to how busy everyone is, and it is also related to Qiao Yu not yet forming the habit of email communication.
“Qiao Yu:
Upon reading your message. Today, I had the opportunity to, upon invitation by Professor Xuanzhi, discuss with Professor Gus and Professor Meinaide their latest paper “New Progress in Large Value Estimates of Dirichlet Polynomials,” and found it very enlightening.
Recalling your deep interest in prime number issues while at Yanbei, I am recommending this paper to you. The paper has been published on the preprint platform arXiv, authored by James Maynard and Harvey Gus.
During the discussion, I mentioned the generalized modal number theory axiomatic system you are attempting to build. Professor Tao Xuanzhi expressed a great interest upon hearing it.
Professor Xuanzhi has also been trying in recent years to combine the analytic theory of prime numbers with the extremal principle in combinatorial number theory to study the characteristic relationship between prime distribution and modular forms, and to find properties similar to prime numbers in general sequences and functions.
He has achieved numerous accomplishments, such as developing a genetic sieve method to analyze the role of sieve methods in complex sets, especially for constructing prime sets with specific properties.
He has also invested considerable effort into promoting the Polymath project, reducing the gaps between prime pairs from 70 million to within 600. Therefore, he hopes to establish cooperation with you to jointly explore the geometrization of prime number problems.
If you are interested, please let me know a convenient time or means for communication.
Looking forward to your reply, wishing you all the best!
Zhang Yuantang.”
After quickly scanning through this letter, Qiao Yu instinctively opened the web browser to search for the names Tao Xuanzhi, James Maynard, and Harvey Gus…
Indeed, Qiao Yu is not only an outsider to mathematics but also to academia. He genuinely does not know many big names in mathematics.
But he knew that if Professor Zhang Yuantang could be casually invited, and Professor Zhang specifically wrote this letter to him, they must be prominent figures in the mathematical community.
The facts confirmed this.
A search showed two Fields Medal winners, and although one hadn’t won the Fields Medal, he still seemed to hold a significant position in the mathematical community.
The most important thing is that unlike the Fields Medal recipients he met at the last World Algebraic Geometry Congress, both Tao Xuanzhi and James Maynard are still very young.
Tao Xuanzhi just turned fifty this year, and James Maynard is even younger, not yet forty by a year.