二阶质量矩的显式公式形成对称的方形L函数

Pub Date : 2023-07-01 DOI:10.5565/publmat6722306

Olga Balkanova, D. Frolenkov

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引用次数: 0

摘要

：我们证明了与全模群的Maas形式相关的对称平方L-函数的二阶矩的一个显式公式。特别地，我们展示了如何用与4、16和64级的Maas尖点形式相关的对称平方L-函数的对偶二阶矩来表示所考虑的二阶矩。

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An explicit formula for the second moment of Maass form symmetric square $L$-functions

: We prove an explicit formula for the second moment of symmetric square L -functions associated to Maass forms for the full modular group. In particular, we show how to express the considered second moment in terms of dual second moments of symmetric square L -functions associated to Maass cusp forms of levels 4, 16, and 64.

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