A Log-Free Zero-Density Estimate and Small Gaps in Coefficients of L-Functions

DOI10.1093/imrn/rnu065zbMath1385.11026arXiv1312.5820OpenAlexW2078070384MaRDI QIDQ5500428

Amir Akbary, Timothy S. Trudgian

Publication date: 6 August 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5820

zbMATH Keywords

newformFourier coefficientsRankin-Selberg \(L\)-functionautomorphic representationslog-free zero-density estimatenonlacunarity

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (4)

Towards a 𝐺𝐿_{𝑛} variant of the Hoheisel phenomenon ⋮ Joint extreme values of \(L\)-functions ⋮ BOMBIERI–VINOGRADOV THEOREMS FOR MODULAR FORMS AND APPLICATIONS ⋮ Weak subconvexity without a Ramanujan hypothesis

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