On the second moment of \(L\)-series of holomorphic cusp forms on the critical line

DOI10.1134/S1064562415040079zbMath1327.30005OpenAlexW2175828640MaRDI QIDQ892717

V. A. Bykovskii, Dmitriy A. Frolenkov

Publication date: 12 November 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415040079

zbMATH Keywords

holomorphic cusp forms\(L\)-series

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (3)

Averages of long Dirichlet polynomials with modular coefficients ⋮ Non-vanishing of automorphic \(L\)-functions of prime power level ⋮ A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line

Cites Work

• A trace formula for the scalar product of Hecke series and its applications
• Uniform bound for Hecke \(L\)-functions
• Hybrid bounds for twisted L-functions
• The square mean of Dirichlet series associated with cusp forms
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