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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 Riemann–von Mangoldt formula ： ウィキペディア英語版 Riemann–von Mangoldt formula In mathematics, the Riemann–von Mangoldt formula, named for Bernhard Riemann and Hans Carl Friedrich von Mangoldt, describes the distribution of the zeros of the Riemann zeta function. The formula states that the number ''N''(''T'') of zeros of the zeta function with imaginary part greater than 0 and less than or equal to ''T'' satisfies :$N(T)=\backslash frac\backslash log\}-\backslash frac+O(\backslash log).$ The formula was stated by Riemann in his notable paper ''On the Number of Primes Less Than a Given Magnitude'' (1859) and was finally proved by Mangoldt in 1905. Backlund gives an explicit form of the error for all ''T'' greater than 2: : ==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「Riemann–von Mangoldt formula」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.