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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 Maier's theorem ： ウィキペディア英語版 Maier's theorem In number theory, Maier's theorem is a theorem about the numbers of primes in short intervals for which Cramér's probabilistic model of primes gives the wrong answer. The theorem states that if π is the prime counting function and λ is greater than 1 then :$\backslash frac$, $u$ fixed). It also uses an equivalent of the number of primes in arithmetic progressions of sufficient length due to Gallagher. gave another proof, and also showed that most probabilistic models of primes incorrectly predict the mean square error :$\backslash int\_2^Y\backslash left(\backslash sum\_\; \backslash log\; p\; -\backslash sum\_1\backslash right)^2\backslash ,dx$ of one version of the prime number theorem. ==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「Maier's theorem」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.