The cubic moment of automorphic \(L\)-functions in the weight aspect

DOI10.1016/J.JNT.2019.07.009zbMath1483.11100OpenAlexW2970919198WikidataQ127280016 ScholiaQ127280016MaRDI QIDQ2329273

Dmitriy A. Frolenkov

Publication date: 17 October 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.07.009

zbMATH Keywords

central values of \(L\)-functionscubic momentweight aspect

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (5)

On Motohashi’s formula ⋮ Averages of long Dirichlet polynomials with modular coefficients ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ Extreme values of L$L$‐functions of newforms ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound

Uses Software

• DLMF

Cites Work

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• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Values of L-series of modular forms at the center of the critical strip
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• The cubic moment of central values of automorphic \(L\)-functions
• A generalized cubic moment and the Petersson formula for newforms
• On the fourth power moment of the Riemann zeta-function
• The Weyl bound for Dirichlet \(L\)-functions of cube-free conductor
• Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
• Mixed moment of GL(2) and GL(3)L‐functions
• Integral moments of L-functions
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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