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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 Petersson trace formula ： ウィキペディア英語版 Petersson trace formula In analytic number theory, the Petersson trace formula is a kind of orthogonality relation between coefficients of a holomorphic modular form. It is a specialization of the more general Kuznetsov trace formula. In its simplest form the Petersson trace formula is as follows. Let $\backslash mathcal$ be an orthonormal basis of $S\_k(\backslash Gamma(1))$, the space of cusp forms of weight $k>2$ on $SL\_2(\backslash mathbb)$. Then for any positive integers $m,n$ we have :$$ \frac} \sum_(m) f(n) = \delta_ + 2\pi i^ \sum_\frac J_\left(\frac\right), where $\backslash delta$ is the Kronecker delta function, $S$ is the Kloosterman sum and $J$ is the Bessel function of the first kind. == References == 〔 * Henryk Iwaniec: ''Topics in Classical Automorphic Forms''. Graduate Studies in Mathematics 17, American Mathematics Society, Providence, RI, 1991. 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「Petersson trace 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.