A note on mass equidistribution of holomorphic Siegel modular forms

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• 作者：Sheng-Chi Liu ^{scliu@math.wsu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11F11 ; 11F46
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：170
• 期：Complete
• 页码：185-190
• 全文大小：251 K

文摘

Let F_f∈S_k(Sp_2n(Z))$F_f\in S_k({\mathit{Sp}}_{2n}(\mathbb{Z}))$ be the Ikeda lifting of a Hecke eigenform f∈S_2k−n(SL₂(Z))$f\in S_{2k-n}({\mathit{SL}}_2(\mathbb{Z}))$ with the normalization 72b3a707" title="Click to view the MathML source">〈F_f,F_f〉=1$〈F_f,F_f〉=1$. Let E(Z;s)$E(Z;s)$ denote the Klingen Eisenstein series. In this paper we verify that which is predicted by the mass equidistribution conjecture of Cogdell and Luo [CL].