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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 exponential sum ： ウィキペディア英語版 exponential sum In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function :$e(x)\; =\; \backslash exp(2\backslash pi\; ix).\backslash ,$ Therefore a typical exponential sum may take the form :$\backslash sum\_n\; e(x\_n),$ summed over a finite sequence of real numbers ''x''''n''. ==Formulation== If we allow some real coefficients ''a''''n'', to get the form :$\backslash sum\_n\; a\_n\; e(x\_n)$ it is the same as allowing exponents that are complex numbers. Both forms are certainly useful in applications. A large part of twentieth century analytic number theory was devoted to finding good estimates for these sums, a trend started by basic work of Hermann Weyl in diophantine approximation. 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「exponential 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.