Non-vanishing of Maass form symmetric square \(L\)-functions

DOI10.1016/j.jmaa.2021.125148zbMath1469.11131OpenAlexW3136421706MaRDI QIDQ2020484

Olga G. Balkanova, Dmitriy A. Frolenkov

Publication date: 23 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125148

zbMATH Keywords

\(L\)-functionsGauss hypergeometric functionnon-vanishing

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) 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) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

An explicit formula for the second moment of Maass form symmetric square \(L\)-functions

Uses Software

• DLMF

Cites Work

• Central value of the symmetric square \(L\)-functions related to Hecke-Maass forms
• A mean value of a triple product of \(L\)-functions
• The moments of the Riemann zeta-function. I: The fourth moment off the critical line
• The cubic moment of central values of automorphic \(L\)-functions
• On the moments of Hecke series at central points. II
• Convolution formula for the sums of generalized Dirichlet \(L\)-functions
• Uniform asymptotic expansions for hypergeometric functions with large parameters IV
• Non-vanishing of the symmetric square L -function at the central point
• Decoupling for Perturbed Cones and the Mean Square of $|\zeta (\frac 12+it)|$
• Non-vanishing of Maass form $L$-functions at the central point
• Exponentially accurate uniform asymptotic approximations for integrals and Bleistein's method revisited
• MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS
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