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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Fundamental lemma of sieve theory ： ウィキペディア英語版 Fundamental lemma of sieve theory In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam & Richert 〔 〕 write: Diamond & Halberstam〔 〕 attribute the terminology ''Fundamental Lemma'' to Jonas Kubilius. ==Common notation== We use these notations: * ''A'' is a set of ''X'' positive integers, and ''A''''d'' is its subset of integers divisible by ''d'' * ''w''(''d'') and ''R''''d'' are functions of ''A'' and of ''d'' that estimate the number of elements of ''A'' that are divisible by ''d'', according to the formula :$\backslash left\backslash vert\; A\_d\; \backslash right\backslash vert\; =\; \backslash frac\; X\; +\; R\_d\; .$ :Thus ''w''(''d'') / ''d'' represents an approximate density of members divisible by ''d'', and ''R''''d'' represents an error or remainder term. * ''P'' is a set of primes, and ''P''(''z'') is the product of those primes ≤ ''z'' * ''S''(''A'', ''P'', ''z'') is the number of elements of ''A'' not divisible by any prime in ''P'' that is ≤ ''z'' * κ is a constant, called the sifting density,〔 that appears in the assumptions below. It is a weighted average of the number of residue classes sieved out by each prime. 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「Fundamental lemma of sieve theory」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.