Explicit bounds for \(L\)-functions on the edge of the critical strip

DOI10.1016/j.jnt.2018.01.001zbMath1440.11162arXiv1804.09850OpenAlexW2792707245MaRDI QIDQ1708077

Allysa Lumley

Publication date: 4 April 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09850

zbMATH Keywords

\(L\)-functionsexplicit results

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

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• La conjecture de Weil pour les surfaces K3
• Explicit upper bounds for 𝐿-functions on the critical line
• Formes modulaires de poids $1$
• Explicit Upper Bounds for Residues of Dedekind Zeta Functions and Values ofL-Functions ats= 1, and Explicit Lower Bounds for Relative Class Numbers of CM-Fields
• Conditional bounds for the least quadratic non-residue and related problems

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