翻訳と辞書 Words near each other ・ Dedicato a mio padre ・ Dedicatoria ・ Dedieu ・ Dedigama ・ Dedigama Electoral District ・ Dedimar ・ Dedimus potestatem ・ Dedin ・ Dedina ・ Dedina Bara ・ Dedina Mládeže ・ Dedinac ・ Dedekind group ・ Dedekind number ・ Dedekind psi function ・ Dedekind sum ・ Dedekind zeta function ・ Dedekind-infinite set ・ Dedekind–Hasse norm ・ Dedekind–MacNeille completion ・ Dedeköy ・ Dedeköy, Hamamözü ・ Dedeköy, Koçarlı ・ Dedekılıcı, Göle ・ Dedeler ・ Dedeler, Göynük ・ Dedeler, Gülnar ・ Dedeler, Karacasu ・ Dedeler, Mersin (disambiguation) ・ Dedeler, Mudurnu 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 Dedekind sum ： ウィキペディア英語版 Dedekind sum In mathematics, Dedekind sums are certain sums of products of a sawtooth function, and are given by a function ''D'' of three integer variables. Dedekind introduced them to express the functional equation of the Dedekind eta function. They have subsequently been much studied in number theory, and have occurred in some problems of topology. Dedekind sums obey a large number of relationships on themselves; this article lists only a tiny fraction of these. Dedekind sums were introduced by Richard Dedekind in a commentary on fragment XXVIII of Bernhard Riemann's collected papers. == Definition == Define the sawtooth function $(\backslash !(\; \backslash ,\; )\backslash !)\; :\; \backslash mathbb\; \backslash rightarrow\; \backslash mathbb$ as :$(\backslash !(x)\backslash !)=\backslash begin$ x-\lfloor x\rfloor - 1/2, &\mboxx\in\mathbb\setminus\mathbb;\\ 0,&\mboxx\in\mathbb. \end We then let :''D'' :Z3 → R be defined by :$D(a,b;c)=\backslash sum\_\; \backslash left(\; \backslash !\backslash !\; \backslash left(\; \backslash frac\; \backslash right)\; \backslash !\backslash !\; \backslash right)\; \backslash left(\; \backslash !\backslash !\; \backslash left(\; \backslash frac\; \backslash right)\; \backslash !\backslash !\; \backslash right),$ the terms on the right being the Dedekind sums. For the case ''a''=1, one often writes :''s''(''b'',''c'') = ''D''(1,''b'';''c''). 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「Dedekind sum」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.