On the nonvanishing of Rankin-Selberg \(L\)-functions

DOI10.1215/S0012-7094-93-06918-9zbMath0789.11032OpenAlexW2092434716MaRDI QIDQ1210409

Wenzhi Luo

Publication date: 13 June 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-06918-9

zbMATH Keywords

eigenvalueTeichmüller spacenonvanishingRankin-Selberg \(L\)-functionMaaß cusp formnon-Euclidean Laplacianspectral mean-value theorem

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

The critical order of vanishing of automorphic \(L\)-functions with large level, Dissolving a cusp form in the presence of multiplicities, Kloosterman sums and their applications: A review, Families of \(L\)-functions of automorphic forms and applications, On the Poles of Rankin-Selberg Convolutions of Modular Forms, The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros, On the Existence of Maass Cusp Forms on Hyperbolic Surfaces with Cone Points, Simultaneous non-vanishing for Dirichlet \(L\)-functions

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