The asymptotic formula for the averages of the product of twisted \(L\)-functions

DOI10.1007/s11139-019-00168-7zbMath1472.11150OpenAlexW2969359681MaRDI QIDQ2337343

Guo-Hua Chen

Publication date: 19 November 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00168-7

zbMATH Keywords

Poisson summation formulaPetersson formulastationary phase methodVoronoi summation formulatwisted \(L\)-functions

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• The cubic moment of central values of automorphic \(L\)-functions
• A generalized cubic moment and the Petersson formula for newforms
• La conjecture de Weil. I
• Distribution of Maass of holomorphic cusp forms
• Oscillatory integrals with uniformity in parameters
• The second moment of twisted modular \(L\)-functions
• Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
• Twisted moments of \(L\)-functions and spectral reciprocity
• The fifth moment of modular \(L\)-functions
• On moments of twisted L-functions
• Sur le problème des diviseurs de Titchmarsh.
• Bounds for automorphic \(L\)-functions. III.

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