翻訳と辞書
Words near each other
・ Daniel Goddard (canoeist)
・ Daniel Godelli
・ Daniel Godoy
・ Daniel Goens
・ Daniel Goiți
・ Daniel Goldberg
・ Daniel Goldberg (politician)
・ Daniel Goldberg (producer)
・ Daniel Golden
・ Daniel Goldhagen
・ Daniel Goldin
・ Daniel Goldin presidency of Boston University
・ Daniel Goldman
・ Daniel Goldschmitt
・ Daniel Goldstein
Daniel Goldston
・ Daniel Goldstraw
・ Daniel Goleman
・ Daniel Gollán
・ Daniel Gomez (footballer)
・ Daniel Goneau
・ Daniel Gonzalez (Argentine footballer)
・ Daniel Gonzalez (soccer)
・ Daniel Gonzalez (spree killer)
・ Daniel González
・ Daniel González (Uruguayan footballer)
・ Daniel González Calvo
・ Daniel González Vega
・ Daniel Gonçalves
・ Daniel Gooch


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Daniel Goldston : ウィキペディア英語版
Daniel Goldston

Daniel Alan Goldston (born January 4, 1954 in Oakland, California) is an American mathematician who specializes in number theory. He is currently a professor of mathematics at San Jose State University. He has an Erdos number of 2.
Goldston is best known for the following result that he, János Pintz, and Cem Yıldırım proved in 2005:〔http://arxiv.org/abs/math/0508185〕
:\liminf_\frac=0
where p_n\ denotes the nth prime number. In other words, for every c>0\ , there exist infinitely many pairs of consecutive primes p_n\ and p_\ which are closer to each other than the average distance between consecutive primes by a factor of c\ , i.e., p_-p_n.
This result was originally reported in 2003 by Goldston and Yıldırım but was later retracted.〔http://aimath.org/primegaps/〕〔http://www.aimath.org/primegaps/residueerror/〕 Then Pintz joined the team and they completed the proof in 2005.
In fact, if they assume the Elliott–Halberstam conjecture, then they can also show that primes within 16 of each other occur infinitely often, which is related to the twin prime conjecture.
==See also==

*Landau's problems
*Yitang Zhang
*James Maynard (mathematician)

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「Daniel Goldston」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.