Upper bounds on \(L(1,\chi)\) taking into account ramified prime ideals

DOI10.1016/j.jnt.2017.01.010zbMath1428.11200OpenAlexW2594631572MaRDI QIDQ529447

Stéphane R. Louboutin

Publication date: 18 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.01.010

zbMATH Keywords

Dedekind zeta function\(L\)-functionray class groupnumber fieldresidues

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Zeta functions and (L)-functions of number fields (11R42)

Related Items (1)

Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals

Cites Work

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• Explicit upper bounds of the residue at the point 1 of zeta functions of certain number fields
• Explicit upper bounds of \(|L(1,\chi)|\). IV
• Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\)
• Majorations explicites de |L(1,χ)| (troisième partie)
• Approximate formulae for L(1,χ)
• An explicit upper bound for |L(1,χ)| when χ(2) = 1 and χ is even
• Explicit upper bounds for |L(1, χ)| when χ(3)=0
• L-Functions and Class Numbers of Imaginary Quadratic Fields and of Quadratic Extensions of an Imaginary Quadratic Field
• Upper Bounds on |L(1, χ)| and Applications
• Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals
• Approximate formulae for L(1,χ), II
• On Epstein's Zeta-function.
• Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers

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