Spectral decomposition formula and moments of symmetric square $L$-functions

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9330e

Olga Germanovna Balkanova

引用次数: 0

Abstract

We prove a spectral decomposition formula for averages of Zagier $L$-series in terms of moments of symmetric square $L$-functions associated to Maass and holomorphic cusp forms of levels $4$, $16$, $64$.

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对称平方函数的谱分解公式和矩

我们证明了Zagier $L$-级数的谱分解公式，它是关于质量的对称平方$L$-函数的矩和阶$4$，$16$，$64$的全纯顶点形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.