Translator: Henyee Translations Editor: Henyee Translations
Once the inspiration ca to Lu Zhou, he could not stop writing. He had even completely forgotten about eating.
Lu Zhou’s brain was filled with creative juice, and he was totally motivated as he took his pen and started to write on the paper.
[
The restriction group G is provided and |G|=p1α1p2α2···piαi, where pi is a pri number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)
The number of tis deg(p) is the vertex p. Redefine C(G)=...
]
...
Ti slowly passed by, but he did not stop writing.
This felt different than the last ti.
Last ti his inspiration was given. This ti, his inspiration was created by himself.
The pen moved swiftly on the paper.
Without him realizing it, he had already written five draft papers.
Lu Zhou rubbed his stomach and leaned against his chair before he took out his phone.
He was shocked when he looked at the ti.
“F*ck, it’s already five o’clock!”
He had not even eaten his breakfast yet.
Lu Zhou could not handle it anymore. He then went to the crowded cafeteria and ate so dinner. After dinner, he continued to work.
It was at six o’clock in the evening when Shi Shang returned from his class with his food. When he saw Lu Zhou writing on the desk, he asked, “Zhou, what are you doing? Master’s students have howork too?”
Lu Zhou was at a crucial point, so he did not raise his head when he replied, “Writing a thesis.”
Suddenly, Huang Guangming and Liu Rui also ca back with their food.
Liu Rui placed his backpack on the table and took out his howork while Huang Guangming walked over to Lu Zhou and looked at the paper curiously.
He was muddled when he saw what Lu Zhou was writing.
“F*ck, Zhou, I don’t understand a single word you wrote.”
Out of curiosity, Shi Shang also ca over.
“Guangming, we’re third-year students already, so you should at least be able to understand the symbols... F*ck, this is group theory... Advanced stuff!”
Liu Rui was writing his howork when he twirled his pen and said calmly, “It’s not that advanced, I think so fourth-year students take that. But it’s not related to us applied mathematics majors... Well, unless you transfer to theoretical physics...”
Applied mathematics and theoretical physics were similar, so it was not that unusual for people to transfer.
Most people transferred for the fat physics research budget.
“No way I would transfer,” said Huang Guangming as he shook his head and walked away.
“Of course you couldn’t transfer, you’re not like Lu Zhou,” said Shi Shang. He patted Guangming’s shoulder with a look of defeat.
Lu Zhou, “...?”
...
Ro was not built in a day. A well-established theory required inspiration and ti.
Over the next few days, Lu Zhou spent all his day ti at the library, and all his night ti in his dorm.
Occasionally, he would have to reply to Professor Frank’s email. However, since there was no new data from CERN, he did not have to do too much work.
Lu Zhou felt fulfilled.
Although other people could not understand, he himself was happy.
The second week of September, on a sunny morning, Lu Zhou leaned against his chair in the library. He glanced at the dozens of papers in front of him and said with relief, “Finally done!”
All it took was so inspiration to solve the bottleneck. After that, he could cruise through the rest.
He was exhausted but he also had an unexplainable pleasant feeling.
It was not just because he solved another difficult mathematics conjecture, but it was also because while he was solving this problem, it deepened his understanding of group theory. This gave him new tools in his mathematics toolbox.
This was more exciting than the conjecture itself.
Hilbert once said that Fermat’s Great Theorem was a chicken that could lay golden eggs, Not because the chicken had fed a large number of mathematicians, and nor was it because the chicken had given many journals a chance to publish their sub-par papers, but because through it, many novel mathematical thods were derived.
Inspired by the Fermat problem, Kumr introduced the concept of ideal numbers and found the only decomposition theorem that decomposed the number of a circular domain into an ideal pri factor. This theorem had been promoted today by Dedekind and Kroneeck. It occupied a central position in the theory of modern numbers, and its significance had gone far beyond the scope of number theory.
Lu Zhou’s work at the Princeton conference was the sa. His applied topology thod solved the twin pri conjecture.
The original sieve theory was applied by Mr. Chen, and the number theory community believed that in order to solve the Goldbach’s conjecture in the form of “1 1”, they needed a new thod.
It appeared now that the sieve thod was more useful than they thought.
Even the professor that introduced the sieve theory in 1995 had not expected this.
This is the value of number theory.
While Lu Zhou was solving the Polignac’s conjecture, he also found a unique solution.
He nad this thod “Structure Research thod of the Group Theory” or “Group Structure thod” for short.
Using the group theory thod, the problem of infinity was studied as a whole. The “K=1” form was extended to “k is an infinite natural number”, which thoroughly proved that “for all natural numbers k, there are infinite pairs of pri numbers (p, The proposition of p 2k)”.
The conclusion might be one only sentence, but it took up several blackboards to prove.
Lu Zhou spent an entire day organizing the proof on his computer before converting it into PDF format.
As he looked at the finished product on his screen, he nodded with satisfaction.
“This should do.”
He could still write more on his Group Structure thod.
However, Group Structure thod was not the focus of his thesis.
So far, the Polignac’s conjecture had been proved.
While it might seem that the proof was only an extension of the twin pri conjecture proof, but no one other than Lu Zhou knew of its difficulty.
Lu Zhou added a sentence to his thesis.
[... Due to structural reasons, the Group Structure thod theory will be explained in my next thesis.]
Re-format, upload.
Target, Annual Mathematics!
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