I am pretty confident that I will never in my lifetime fully understand stuff like this (not the symbols themselves, but the overall meaning of each term and why it is like that): https://i.snipboard.io/by4tsH.jpg
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
#12Alternative link for the New Yorker article: https://archive.is/TVj2A
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#13Earlier quoted context omitted.
If the proof is right, Zhang is in contention for greatest living mathematician with seven papers total, and on the basis of two of them (and should win all the major prizes he has not won yet and is still eligible for: Abel, Wolf, etc.). Would truly live up to Gauss' motto: "pauca, sed matura!"
Even more incredible is that his own advisor refused to write him letters of recommendation upon graduation [1] After graduation, Zhang had trouble finding an academic position. In a 2013 interview with Nautilus magazine, Zhang said he did not get a job after graduation. "During that period it was difficult to find a job in academics. That was a job market problem. Also, my advisor [Tzuong-Tsieng Moh] did not write m…
Yes, if you want to see something incredible (in both the literal sense and the usual sense), read https://www.math.purdue.edu/~ttm/ZhangYt.pdf (by Moh).
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#14Two 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
#15Two 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.
"I think Zhang's previous result was good enough to rebuff Hardy's claims."
I agree.
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#16Is Yitang Zhang this century's Ramanujan?
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#17Can someone explain the decimal constants that are used throughout the proof? For example, on page 52. It's rare to see these kinds of numbers used in mathematical proofs, but I'm sure they were chosen for good reasons.
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#18Is there a real world outcome to this result?
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#19I wish there will be time when "(if correct)" would be nonsense because correctness is checked in a fraction of second by something like CoQ and this proof is accompanied every known theorem.
Re: Monumental (if correct) advance in number theory posted to ArXiv by Yitang Zhang
#20Earlier quoted context omitted.
Even more incredible is that his own advisor refused to write him letters of recommendation upon graduation [1] After graduation, Zhang had trouble finding an academic position. In a 2013 interview with Nautilus magazine, Zhang said he did not get a job after graduation. "During that period it was difficult to find a job in academics. That was a job market problem. Also, my advisor [Tzuong-Tsieng Moh] did not write m…
Yes, if you want to see something incredible (in both the literal sense and the usual sense), read https://www.math.purdue.edu/~ttm/ZhangYt.pdf (by Moh).
Yeah I started reading that from the Wiki citation. Yikes. Academia is brutal.