There was a scientist who did his best stuff while he was working as a patent clerk.
Ironically he didn't patent E=MC^2 and now everyone says it scot-free.
Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
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Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#92Earlier quoted context omitted.
Ironically he didn't patent E=MC^2 and now everyone says it scot-free.
> he didn't patent E=MC^2 and now everyone says it scot-free Laws of nature (and descriptions thereof) aren't patentable. https://www.bitlaw.com/source/mpep/2106_04_b.html#:~:text=Th... .
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#93I need a “Explain like I’m 5” for Landau--Siegel zeros. This sounds like a hard task as I couldn’t find anything online that does it :(
https://old.reddit.com/r/math/comments/y93a86/eliundergradua...
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#94I need a “Explain like I’m 5” for Landau--Siegel zeros. This sounds like a hard task as I couldn’t find anything online that does it :(
Hey, this comment was my attempt at an ELIUndergraduate (5 is probably a little too ambitious for this topic). I hope it may be helpful! https://old.reddit.com/r/math/comments/y93a86/eliundergradua...
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#95Is the 2022 in the bound there cause it's sharpest or because he happened to have the freedom to pick it equal to the year of publication?
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#96Two additional notes: 1. Zhang posted an attempt at solving this problem in 2007 that he later more or less admitted was flawed: https://mathoverflow.net/questions/131221/yitang-zhangs-2007... . But speaking with mathematicians who are intimately familiar with Zhang's previous work, there seems to be good reason to be optimistic nevertheless. First, the idea behind Zhang's proof is similar to the zero-repulsion ideas…
I think Zhang's previous result was good enough to rebuff Hardy's claims. Actually I think Math is more or less a young people's game is because whence someone be super successful and famous it's kinda difficult psychological to retain the previous mental state and push out similar results.
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#97> To give a sense of the scale of this claim: If correct, Zhang's work is the most significant progress towards the Generalized Riemann Hypothesis in a century. Thanks, that totally failed to give any sense of scale.
It's the moral equivalent of making major headway against P!=NP; or, proving that there are no global hidden variables in QM; or, that there's a clear path ("just engineering") to room-temperature semiconductors.
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#98Math used to be a young person game, but it now requires so much knowledge just to get to the frontiers of human knowledge, not to speak of making a dent into uncharted territory, that results are being obtained later and later in life. When mathematicians have had time to accrue sufficient knowledge while still being sharp enough to make the intellectual leap. The sad part is that as the trend continues we may reach…
>The sad part is that as the trend continues we may reach a point where a mathematician's intellectually productive life is not sufficient
Hmm. I had never thought of it like this. Is it possible for human knowledge to become so advanced in a single subject that it takes a persons entire life to learn just one subject? That's already true of something like the human body, which is why doctors specialize in organs or regions of the body. The more human knowledge expands, the more individuals specialize into increasingly smaller niches.
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#99Math used to be a young person game, but it now requires so much knowledge just to get to the frontiers of human knowledge, not to speak of making a dent into uncharted territory, that results are being obtained later and later in life. When mathematicians have had time to accrue sufficient knowledge while still being sharp enough to make the intellectual leap. The sad part is that as the trend continues we may reach…
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#100As an older person currently working on a PhD, this guy was and is a something of a hero to me. He has an interesting life story. He was very into math at an early age, so he's different from people like me who got interested in it later in life, but he's also different in that his family was sent down to the countryside in China. I remember reading a lot about him a few years ago and relating to some of the professi…