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An explicit formula for the second moment of Maass form symmetric square \(L\)-functions - MaRDI portal

An explicit formula for the second moment of Maass form symmetric square \(L\)-functions (Q6109908)

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scientific article; zbMATH DE number 7720473
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An explicit formula for the second moment of Maass form symmetric square \(L\)-functions
scientific article; zbMATH DE number 7720473

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    An explicit formula for the second moment of Maass form symmetric square \(L\)-functions (English)
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    31 July 2023
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    The authors prove an explicit formula, relating the second moment of the symmetric square \(L\)-function associated to a Maass eigenform for the full modular group to the dual second moments of the symmetric square \(L\)-functions associated to Maass cusp forms of levels 4, 16, and 64. The main tool of this highly technical work is a regularized Kuznetsov trace formula, obtained by the authors.
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    \(L\)-functions
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    Kloosterman sums
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    Kuznetsov trace formula
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    regularization
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