Moments of \(L\)-functions and the Liouville-Green method

DOI10.4171/JEMS/1035zbMath1486.11071arXiv1610.03465OpenAlexW3120089407MaRDI QIDQ2031670

Olga G. Balkanova, Dmitriy A. Frolenkov

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03465

zbMATH Keywords

WKB approximationnon-vanishingcentral values of \(L\)-functionsweight aspectLiouville-Green method

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Moments of central 𝐿-values for Maass forms over imaginary quadratic fields ⋮ Averages of long Dirichlet polynomials with modular coefficients ⋮ A Voronoi summation formula for the shifted triple divisor function ⋮ A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) ‐FUNCTIONS ⋮ Non-vanishing of Maass form $L$-functions at the central point

Uses Software

• DLMF

Cites Work

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