The first moment of Maaß form symmetric square \(L\)-functions

DOI10.1007/S11139-020-00272-ZzbMath1477.11092arXiv1912.05157OpenAlexW3045096966MaRDI QIDQ2039005

Olga G. Balkanova

Publication date: 7 July 2021

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

Full work available at URL: https://arxiv.org/abs/1912.05157

zbMATH Keywords

moments\(L\)-functionsMaass forms

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) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Prime geodesics and averages of the Zagier L-series ⋮ Spectral decomposition formula and moments of symmetric square $L$-functions ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS

Uses Software

• DLMF

Cites Work

• A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line
• The cubic moment of central values of automorphic \(L\)-functions
• The mean value of symmetric square \(L\)-functions
• On the moments of Hecke series at central points. II
• Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
• Decoupling, exponential sums and the Riemann zeta function
• Central value of the symmetric square <italic>L</italic>-functions related to Maass forms
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