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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 Barnes zeta function ： ウィキペディア英語版 Barnes zeta function In mathematics, a Barnes zeta function is a generalization of the Riemann zeta function introduced by . It is further generalized by the Shintani zeta function. ==Definition== The Barnes zeta function is defined by : $\backslash zeta\_N(s,w|a\_1,...,a\_N)=\backslash sum\_\backslash frac$ where ''w'' and ''a''''j'' have positive real part and ''s'' has real part greater than ''N''. It has a meromorphic continuation to all complex ''s'', whose only singularities are simple poles at ''s'' = 1, 2, ..., ''N''. For ''N'' = ''w'' = ''a''1 = 1 it is the Riemann zeta function. 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「Barnes zeta function」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.