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• W3100249872 abstract "Let $ mathfrak{f} $ run over the space $ H_{4k} $ of primitive cusp forms of level one and weight $ 4k $, $ k in N $. We prove an explicit formula for the mixed moment of the Hecke $ L $-function $ L(mathfrak{f}, 1/2) $ and the symmetric square $L$-function $ L(sym^2mathfrak{f}, 1/2)$, relating it to the dual mixed moment of the double Dirichlet series and the Riemann zeta function weighted by the ${}_3F_{2}$ hypergeometric function. Analysing the corresponding special functions by the means of the Liouville-Green approximation followed by the saddle point method, we prove that the initial mixed moment is bounded by $log^3k$." @default.
• W3100249872 created "2020-11-23" @default.
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• W3100249872 date "2019-12-05" @default.
• W3100249872 modified "2023-09-25" @default.
• W3100249872 title "Mixed moment of GL(2) and GL(3)L‐functions" @default.
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• W3100249872 doi "https://doi.org/10.1112/plms.12312" @default.
• W3100249872 hasPublicationYear "2019" @default.
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