Asymptotic formulae for the second moments of $ L$-series of holomorphic cusp forms on the critical line

DOI10.1070/IM8426zbMath1391.11096arXiv1608.00555OpenAlexW3099005662MaRDI QIDQ5272583

V. A. Bykovskii, Dmitriy A. Frolenkov

Publication date: 30 June 2017

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00555

zbMATH Keywords

modular formconvolution formula\(L\)-series of automorphic forms

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Averages of long Dirichlet polynomials with modular coefficients ⋮ The average length of finite continued fractions with fixed denominator ⋮ Bounds for a spectral exponential sum ⋮ Trace formula for integral points on the three-dimensional sphere ⋮ Simultaneous nonvanishing of products of \(L\)-functions associated to elliptic cusp forms

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