It may still require the developnt of new tools to explain this important conjecture. For instance, establishing a unified frawork that connects mathematical objects such as superspiral algebra, Riemann ζ functions, automorphic forms, and elliptic curves could potentially solve this difficult problem completely.
However, the issue arises that Qiao Ze did not feel he excelled in number theory, addressing Goldbach's conjecture was rely a way to rest his mind. Therefore, after only doing so preliminary work, Qiao Ze gave up.
There was no need.
The main reason was that he did not lack the one million US Dollars from the Clay Institute, and the Clay Institute's efficiency was quite low; they still had not fully confird that the issue of the Yang-Mills equation's mass gap hypothesis had been resolved and awarded the prize.
Alright, it may seem like a long ti, but it was less than half a year since Qiao Ze had solved the above issue, which actually fell within a normal ti fra.
The Clay Institute isn't one to follow blindly; before awarding the prize, they must let their own researchers thoroughly understand and acknowledge it.
So, when Qiao Ze felt his condition had recovered, Li Jiangao sent him the polished dual-language paper.
Qiao Ze did not spend ti reading it, scanning the abstract briefly, he then added Li Jiangao's na to the author line, and asked Dou Dou to submit it through the "New Discoveries in Mathematics and Physics" submission system, directly to Li Jiangao's inbox.
The editor-in-chief of "New Discoveries in Mathematics and Physics" also happened to be Li Jiangao at that ti.
Generally speaking, it's not quite proper for students to submit papers to a journal where their advisor serves as editor-in-chief, but Qiao Ze was certainly an exceptional case.
He neither needed an advisor's clout to help his paper pass nor did he need publications to raise his profile for professorships or the like; he had not received any scientific awards yet, purely because the ti for granting them had not yet co.
Most importantly, "New Discoveries in Mathematics and Physics" was a journal co-operated by the Xi Lin Mathematical Research Institute and the Science Academy, looking to make a na for itself; naturally, such opportunities should not be lost on outsiders.
Upon seeing the submission from Qiao Ze, Li Jiangao formally reviewed it once more, first deleting his na from the author line, and then started looking for reviewers for Qiao Ze in his address book.
Xu Dajiang had indeed ntioned much to him, but Li Jiangao felt he still had to adhere to his own instincts.
This kind of paper credit wasn't sothing he could accept, nor was it necessary.
Besides, what Xu Dajiang really wanted was for the paper to be published quickly; it didn't matter much whether his na was on it. Having the nas of the Xi Lin Mathematics Research Institute and the Xilin University of Technology School of Mathematics in the author affiliations was sufficient.
As for Qiao Ze's goodwill, he gratefully accepted it, but that second author position was more than he deserved.
Selecting reviewers, too, was a job requiring skill; the research on Goldbach's conjecture cut across multiple areas of mathematical research, including number theory, algorithmic theory, and computational mathematics, and was widespread across various universities and research institutes.
Still, Li Jiangao first reached out to the Institute for Advanced Study in Princeton for reviewers.
There was a simple reason: Qiao Ze mainly used ideas from superspiral algebra to resolve Goldbach's conjecture. Although there wasn't a dedicated center for studying Goldbach's conjecture, the Institute for Advanced Study in Princeton was a center for researching superspiral algebra in the West.
Li Jiangao planned to find three reviewers dostically and three internationally.
This task was easily accomplished; in the current mathematical community, having the opportunity to review Qiao Ze's paper was indeed a privilege.
Yes, from the very beginning, Li Jiangao had no intention of employing the double-blind peer review process for Qiao Ze's paper.
There was no need to engage in such folly.
The characteristics of Qiao Ze's papers were already prominent, particularly with the use of a series of mathematical tools derived from superspiral algebra. Anyone could tell at a glance that the paper was Qiao Ze's work.
Li Jiangao was certain that in the entire world, there wasn't a second person who understood superspiral algebra and transcendental geotry as deeply as Qiao Ze.
This was not only his judgnt but also the consensus of everyone in the institute.
At least, the series of theorem proofs and analyses provided in the Institute for Advanced Study in Princeton's special research column on superspiral algebra and transcendental combinatorics were sufficient to demonstrate this point.
Therefore, the independent paper bearing Qiao Ze's na quickly spread throughout the world.
...
United States, Institute for Advanced Study in Princeton.
French mathematician Antoine Lefevre was flipping through a freshly printed, thick stack of papers; the thick paper was still warm.
Choosing him as one of the paper's reviewers was a wise decision, as this mathematician had made significant contributions to proving the weaker version of Goldbach's conjecture. For example, the proof process that any odd number greater than seven could be expressed as the sum of three odd pri numbers incorporated a crucial theorem from his previous papers.
At the sa ti, Antoine had been deeply engaging with superspiral algebra in recent tis.
The increasingly robust repository of problems on superspiral algebra at the Institute for Advanced Study in Princeton largely stemd from his ideas.
Frankly, such a reviewer was hard to find.
Throughout the world, there weren't many theoretical mathematicians who conducted research on both propositions. Even with eight billion people on Earth, the number of such individuals could be counted on two hands, and perhaps not even all fingers would be needed.
There was no alternative; the barriers to entering number theory research were too high.
It wasn't just a matter of innate intelligence and talent, but also of familial circumstances.
If, during studies, one's family could not afford the exorbitant tuition fees, researching number theory was aningless. It would be more sensible to study applied mathematics and earn a high salary.
A combination of intelligence, talent, interest, and substantial wealth was required; any one of these could deter at least ninety percent of people. eting all three criteria, one can imagine how many would be weeded out.
A wealthy heir who doesn't enjoy a life of luxury and does not want to inherit billions, insistently grappling with piles of numbers driven by the utmost interest, is virtually impossible without that intense passion.
After all, studying has always been an activity against human nature; this is especially true for mathematics.
Ordinary people would think such individuals are insane.
Antoine Lefevre was clearly one such 'insane' person, and quite seriously so.
As he confronted this abstruse and difficult paper, Antoine was not just thoroughly absorbed; he even picked up a pen and began annotating the paper.
His facial expressions said it all; sotis he furrowed his brow in thought, at other tis he had epiphanies, as if he were possessed.
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