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. 
@article{IM2_2017_81_2_a1,
     author = {V. A. Bykovskii and D. A. Frolenkov},
     title = {Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line},
     journal = {Izvestiya. Mathematics },
     pages = {239--268},
     publisher = {mathdoc},
     volume = {81},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2017_81_2_a1/}
}
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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/