翻訳と辞書 Words near each other ・ James May at the Edge of Space ・ James May on the Moon ・ James May's 20th Century ・ James May's Big Ideas ・ James May's Cars of the People ・ James May's Man Lab ・ James May's Things You Need To Know ・ James May's Top Toys ・ James May's Toy Stories ・ James Mayall ・ James Maybrick ・ James Mayer ・ James Mayer de Rothschild ・ James Mayhew ・ James Maynard ・ James Maynard (mathematician) ・ James Mays ・ James Mays (disambiguation) ・ James Mayuol Thor ・ James Mazepa ・ James Mbatia ・ James McAdam ・ James McAlister ・ James McAndrews ・ James McAra ・ James McArdle ・ James McArthur ・ James McAulay ・ James McAuley ・ James McAvoy Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク James Maynard (mathematician) ： ウィキペディア英語版 James Maynard (mathematician) James Maynard (born 10 June 1987) is a British mathematician best known for his work on prime gaps.〔 In November 2013, Maynard gave a different proof of Yitang Zhang's theorem that there are bounded gaps between primes, and resolved a longstanding conjecture by showing that for any $m$ there are infinitely many intervals of bounded length containing $m$ prime numbers. This work can be seen as progress on the Hardy–Littlewood $m$-tuples conjecture as it establishes that "a positive proportion of admissible $m$-tuples satisfy the prime $m$-tuples conjecture for every $m$."〔(【引用サイトリンク】 title=Small Gaps Between Primes )〕 Maynard's approach yielded the upper bound :$\backslash liminf\_\backslash left(p\_-p\_n\backslash right)\backslash leq\; 600,$ which improved significantly upon the best existing bounds due to the Polymath 8 project.〔(【引用サイトリンク】title=Bounded gaps between primes )〕 (In other words, he showed that there are infinitely many prime gaps at most 600.) Subsequently, Polymath 8b was created, whose collaborative efforts have reduced the gap size to 252.〔 As of April 14, 2014, one year after Zhang's announcement, according to the Polymath project wiki, N has been reduced to 246.〔 Further, assuming the Elliott–Halberstam conjecture and its generalized form, the Polymath project wiki states that N has been reduced to 12 and 6, respectively.〔 In August 2014, Maynard〔(【引用サイトリンク】title=Large gaps between primes )〕 (and independently of Ford, Green, Konyagin and Tao) resolved a longstanding conjecture of Erdos on large gaps between primes, and received the largest Erdos prize (10000$) ever offered.〔(【引用サイトリンク】title=Mathematicians Make a Major Discovery About Prime Numbers )〕 After completing his bachelor's and master's degrees at Cambridge University in 2009, Maynard obtained his Ph.D. from Oxford University at Balliol College in 2013 under the supervision of Roger Heath-Brown.〔 For the 2013–2014 year, Maynard was a CRM-ISM postdoctoral researcher at the University of Montreal. In 2014, he was awarded the SASTRA Ramanujan Prize.〔.〕 ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「James Maynard (mathematician)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.