Explicit upper bounds of \(|L(1,\chi)|\). IV

DOI10.1016/S1631-073X(02)02333-6zbMath0996.11051OpenAlexW2059989005MaRDI QIDQ1600202

Stéphane R. Louboutin

Publication date: 14 August 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02333-6

zbMATH Keywords

character sumsDirichlet \(L\)-functions\(L(1,\chi)\)

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Estimates on character sums (11L40)

Related Items

Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals ⋮ Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields ⋮ Security analysis of cryptosystems using short generators over ideal lattices ⋮ Upper bounds on \(L(1,\chi)\) taking into account ramified prime ideals ⋮ Class number bounds and Catalan’s equation

Cites Work

• An upper bound for the period of the simple continued fraction for \(\sqrt D\)
• Majorations explicites de |L(1,χ)| (troisième partie)
• Approximate formulae for L(1,χ)
• Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
• Upper bounds for class numbers of real quadratic fields
• Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields
• Majoration au point 1 des fonctions L associées aux caractères de Dirichlet primitifs, ou au caractère d'une extension quadratique d'un corps quadratique imaginaire principal.
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