Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters

DOI10.4064/aa101-1-1zbMath0997.11067OpenAlexW2026180712MaRDI QIDQ2773314

Stéphane R. Louboutin

Publication date: 21 February 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa101-1-1

zbMATH Keywords

\(L\)-functionscharacter sumDirichlet charactersDedekind zeta-functionupper bound for the residue in 1

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (4)

An explicit upper bound for \(L(1,\chi)\) when \(\chi\) is quadratic ⋮ Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ New bounds for the fundamental units and class numbers of real quadratic fields ⋮ Explicit upper bounds of \(|L(1,\chi)|\). IV

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