Geodesic
Spectral decomposition formula and moments of symmetric square $L$-functions
Izvestiya. Mathematics , Tome 87 (2023) no. 4, pp. 641-682

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $4$, $16$, $64$.
Keywords: $L$-functions, Eisenstein series, Kuznetsov trace formula.
Mots-clés : Gauss sums 
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     author = {O. G. Balkanova},
     title = {Spectral decomposition formula and moments of symmetric square $L$-functions},
     journal = {Izvestiya. Mathematics },
     pages = {641--682},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2023_87_4_a0/}
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O. G. Balkanova. Spectral decomposition formula and moments of symmetric square $L$-functions. Izvestiya. Mathematics , Tome 87 (2023) no. 4, pp. 641-682. http://geodesic.mathdoc.fr/item/IM2_2023_87_4_a0/