CHAPTER 486: CHAPTER 156: HOW COULD I FORGET?_2

This suggests that Qiao Yu’s generalized modal axiomatic framework has provided novel tools to resolve classical number theory conjectures.

Yes, not possibly, but indeed already!

When the two presented this argument, Tao Xuanzhi immediately posted this viewpoint on his personal blog.

Tao Xuanzhi’s blog might not have as many followers as those of big celebrities.

But his followers are very dedicated, whether it’s the courses he taught at UCLA, the open lectures on MasterClass, or his status as the youngest Fields Medalist ever, all of which have earned him a substantial following in the mathematics community.

Moreover, his personal blog frequently reviews the papers of well-known mathematicians, and the reviews are quite detailed.

For instance, he once reviewed Zhang Yuantang’s paper on his blog and even pointed out numerous errors.

This further facilitated the dissemination of Qiao Yu’s paper.

Hence, as a day passed, Qiao Yu’s paper also began to spread widely in the Western mathematical community.

For Qiao Yu, the content he presented at the Mathematics Society was merely an abstract and preliminary draft submission, since mathematics, after all, differs from computation.

Therefore, Tian Yanzhen suggested submitting it directly to a journal after the presentation or even directly negotiating a deal with Lott Degen using this paper.

Of course, as the paper had already been presented at the conference, Qiao Yu not only gained direct access to the backend system of Ann.Math after the presentation but also promptly uploaded it to the pre-publication site arXiv.

With Tao Xuanzhi’s promotion on his personal blog, Qiao Yu’s paper on the bounded gaps between prime numbers quickly reached a download peak.

Especially for mathematicians studying prime numbers, this is undoubtedly one of the most exciting breakthroughs in recent years.

Since Qiao Yu has already managed to bring the bounded gap between primes down to 6, it suggests that the complete resolution of this problem is not far off. Perhaps they could even use the tools provided by Qiao Yu to solve the Twin Prime Conjecture, the Bodonia Conjecture, or even the Riemann Conjecture...

Mathematicians are typically remembered by history in two categories: the pioneers or founders of a mathematical direction.

For example, Gauss pioneered number theory, algebra, probability theory; Euler made contributions to analytic number theory, graph theory, and proposed Euler’s formula; Poincaré gave rise to topology and dynamical systems, inspired the study of the Goldbach Conjecture in number theory...

The second category comprises those who conclusively resolve a problem.

A typical example would be Andrew Wiles, who resolved Fermat’s conjecture, and despite being over forty, the mathematics federation awarded him a Fields silver medal, the only one in the world...

Undoubtedly, if someone resolves the Riemann Conjecture at sixty, they might receive this honor too, turning the only Fields silver medal into two!

But to be frank, mathematicians of a certain age rarely have such unrealistic thoughts as to take on these grand propositions.

For instance, the six Millennium Prize Problems... Everyone knows that rashly challenging these problems likely leads to an unrewarding later life.

Being known for such attempts could even result in ridicule for overestimating one’s abilities.

In today’s era of detailed branches in mathematics, numerous unsolved minor problems exist, and they tend to focus on more specific and controllable issues.

For example, the Boole Mean, perfect matching, Hamiltonian path, equidistant set...

Truly, as long as one doesn’t have overly grand aspirations, the mathematical community can accommodate many people tackling those minor problems, which are also of immense value and can even advance some applied technologies.

But now it’s different. Three papers have suddenly spawned some novel thoughts among many individuals.

If you only consider Qiao Yu’s first two papers, it is apparent they focus on the general mathematical language unification issue, and one can say the attempt to build such a fundamental mathematical framework is indeed genius, and daring to both conceptualize and act upon it!

But the third paper that reduced the gap from 246 to 6 brought an unimaginable shock to many.

If one can swiftly master this new mathematical method and then resolve one or two significant problems of number theory, it could be exceptionally rewarding.

Even merely proving the Twin Prime Conjecture, as long as the age criterion is met, a Fields Medal is almost certain.

For more advanced number theory problems...

Some even feel that if Qiao Yu’s framework succeeds, it might genuinely address the Riemann Conjecture, the Navier-Stokes equation, even the P vs NP problem.

Hence, the fervor in the global academic community is imaginable, with impacts spanning all facets!

...

Across the ocean, at the Berkeley Branch.

Professor Frank received a call from Lucas Eiseng just as he arrived at the office.

After a brief exchange of pleasantries, Lucas Eiseng went straight to the point.

"You should still remember Qiao Yu, right?"

"Of course, I think it’s impossible for me to forget him in this lifetime since he made me experience the biggest setback of my life, well, at least so far."

Although Professor Frank didn’t genuinely feel this way or remember Qiao Yu solely for this reason.

However, the excuse seemed almost flawless, and saying such aligned with the self-deprecating humor often appreciated by people in the Federation.

Indeed, over ten years in the Federation had begun to integrate him into this cultural framework.