张的文章已经被接受了，不再是据说。 (转载)# WaterWorld - 未名水世界
h*e
1 楼
【 以下文字转载自 Mathematics 讨论区 】
发信人: huaqizhiqing (花旗知青), 信区: Mathematics
标 题: 张的文章已经被接受了，不再是据说。
发信站: BBS 未名空间站 (Tue May 21 12:30:05 2013, 美东)
http://annals.math.princeton.edu/articles/7954
Bounded gaps between primes
From to appear in forthcoming issues by Yitang Zhang
Abstract
It is proved that
lim infn→∞(pn+1−pn)<7×107,
where pn is the n-th prime.
Our method is a refinement of the recent work of Goldston, Pintz and
Yildirim on the small gaps between consecutive primes. A major ingredient of
the proof is a stronger version of the Bombieri-Vinogradov theorem that is
applicable when the moduli are free from large prime divisors only (see
Theorem 2), but it is adequate for our purpose.
DOI
MR
Zbl
Milestones
Received: 17 April 2013
Revised: 16 May 2013
Accepted: 21 May 2013
Authors
Yitang Zhang
Department of Mathematics and Statistics
University of New Hampshire
Durham, NH 03824
发信人: huaqizhiqing (花旗知青), 信区: Mathematics
标 题: 张的文章已经被接受了，不再是据说。
发信站: BBS 未名空间站 (Tue May 21 12:30:05 2013, 美东)
http://annals.math.princeton.edu/articles/7954
Bounded gaps between primes
From to appear in forthcoming issues by Yitang Zhang
Abstract
It is proved that
lim infn→∞(pn+1−pn)<7×107,
where pn is the n-th prime.
Our method is a refinement of the recent work of Goldston, Pintz and
Yildirim on the small gaps between consecutive primes. A major ingredient of
the proof is a stronger version of the Bombieri-Vinogradov theorem that is
applicable when the moduli are free from large prime divisors only (see
Theorem 2), but it is adequate for our purpose.
DOI
MR
Zbl
Milestones
Received: 17 April 2013
Revised: 16 May 2013
Accepted: 21 May 2013
Authors
Yitang Zhang
Department of Mathematics and Statistics
University of New Hampshire
Durham, NH 03824
