Geodesic
Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line
Izvestiya. Mathematics , Tome 81 (2017) no. 2, pp. 239-268.

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We obtain new uniform asymptotic formulae for the second moments of $L$-series of cusp forms of even weight $2k\geqslant2$ with respect to the congruence subgroup $\Gamma_0(N)$.
Keywords: modular form, $L$-series of automorphic forms
Mots-clés : convolution formula. 
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V. A. Bykovskii; D. A. Frolenkov. Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line. Izvestiya. Mathematics , Tome 81 (2017) no. 2, pp. 239-268. http://geodesic.mathdoc.fr/item/IM2_2017_81_2_a1/

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