Bounded gaps between primes: Difference between revisions
From Polymath Wiki
Jump to navigationJump to search
| Line 15: | Line 15: | ||
* [http://mathoverflow.net/questions/131185/philosophy-behind-yitang-zhangs-work-on-the-twin-primes-conjecture Philosophy behind Yitang Zhang’s work on the Twin Primes Conjecture], 20 May 2013. | * [http://mathoverflow.net/questions/131185/philosophy-behind-yitang-zhangs-work-on-the-twin-primes-conjecture Philosophy behind Yitang Zhang’s work on the Twin Primes Conjecture], 20 May 2013. | ||
* [http://mathoverflow.net/questions/131825/a-technical-question-related-to-zhangs-result-of-bounded-prime-gaps A technical question related to Zhang’s result of bounded prime gaps], 25 May 2013. | |||
* [http://mathoverflow.net/questions/132452/how-does-yitang-zhang-use-cauchys-inequality-and-theorem-2-to-obtain-the-error How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the <math>S_2</math> sum], 31 May 2013. | |||
* [http://mathoverflow.net/questions/132632/tightening-zhangs-bound-closed Tightening Zhang’s bound (closed)], 3 June 2013. | * [http://mathoverflow.net/questions/132632/tightening-zhangs-bound-closed Tightening Zhang’s bound (closed)], 3 June 2013. | ||
** [http://meta.mathoverflow.net/discussion/1605/tightening-zhangs-bound/ Metathread for this post] | |||
* [http://mathoverflow.net/questions/132731/does-zhangs-theorem-generalize-to-3-or-more-primes-in-an-interval-of-fixed-len Does Zhang’s theorem generalize to 3 or more primes in an interval of fixed length?], 3 June 2013. | * [http://mathoverflow.net/questions/132731/does-zhangs-theorem-generalize-to-3-or-more-primes-in-an-interval-of-fixed-len Does Zhang’s theorem generalize to 3 or more primes in an interval of fixed length?], 3 June 2013. | ||
Revision as of 09:42, 4 June 2013
Polymath threads
- I just can’t resist: there are infinitely many pairs of primes at most 59470640 apart, Scott Morrison, 30 May 2013
- The prime tuples conjecture, sieve theory, and the work of Goldston-Pintz-Yildirim, Motohashi-Pintz, and Zhang, Terence Tao, 3 June 2013.
- Polymath proposal: bounded gaps between primes, Terence Tao, 4 June 2013.
Other relevant blog posts
- Bounded gaps between primes!, Emmanuel Kowalski, 21 May 2013.
- Bounded gaps between primes: some grittier details, Emmanuel Kowalski, 4 June 2013.
MathOverflow
- Philosophy behind Yitang Zhang’s work on the Twin Primes Conjecture, 20 May 2013.
- A technical question related to Zhang’s result of bounded prime gaps, 25 May 2013.
- How does Yitang Zhang use Cauchy’s inequality and Theorem 2 to obtain the error term coming from the [math]\displaystyle{ S_2 }[/math] sum, 31 May 2013.
- Tightening Zhang’s bound (closed), 3 June 2013.
- Does Zhang’s theorem generalize to 3 or more primes in an interval of fixed length?, 3 June 2013.
Recent papers and notes
- Bounded gaps between primes, Yitang Zhang, to appear, Annals of Mathematics. Released 21 May, 2013.
- Polignac Numbers, Conjectures of Erdös on Gaps between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture, Janos Pintz, 27 May 2013.
- A poor man's improvement on Zhang's result: there are infinitely many prime gaps less than 60 million, T. S. Trudgian, 28 May 2013.
- Notes on Zhang's prime gaps paper, Terence Tao, 1 June 2013.
- Bounded prime gaps in short intervals, Johan Andersson, 3 June 2013.
Bibliography
- [GPY2009] Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Y. Primes in tuples. I. Ann. of Math. (2) 170 (2009), no. 2, 819–862. arXiv
- [MP2008] Motohashi, Yoichi; Pintz, János A smoothed GPY sieve. Bull. Lond. Math. Soc. 40 (2008), no. 2, 298–310.
