Effective lower bounds for \(L(1,\chi)\) via Eisenstein series

DOI10.2140/pjm.2017.288.355zbMath1385.11055arXiv1602.07256OpenAlexW3099564919MaRDI QIDQ2397675

Peter J. Humphries

Publication date: 23 May 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07256

zbMATH Keywords

Eisenstein serieslower boundsDirichlet \(L\)-function

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (2)

Quantum unique ergodicity for Eisenstein series in the level aspect ⋮ Standard zero-free regions for Rankin-Selberg \(L\)-functions via sieve theory

Cites Work

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• Kloosterman sums and Fourier coefficients of cusp forms
• The subconvexity problem for Artin \(L\)-functions
• Lower bounds for L -functions at the edge of the critical strip
• Modular Forms

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