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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 theta function of a lattice ： ウィキペディア英語版 theta function of a lattice In mathematics, the theta function of a lattice is a function whose coefficients give the number of vectors of a given norm. ==Definition== One can associate to any (positive-definite) lattice Λ a theta function given by :$\backslash Theta\_\backslash Lambda(\backslash tau)\; =\; \backslash sum\_e^\backslash qquad\backslash mathrm\backslash ,\backslash tau\; >\; 0.$ The theta function of a lattice is then a holomorphic function on the upper half-plane. Furthermore, the theta function of an even unimodular lattice of rank ''n'' is actually a modular form of weight ''n''/2. The theta function of an integral lattice is often written as a power series in $q\; =\; e^$ so that the coefficient of ''q''''n'' gives the number of lattice vectors of norm 2''n''. 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「theta function of a lattice」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.