Mean square value of \(L\)-functions at \(s=1\) for non-primitive characters, Dedekind sums and bounds on relative class numbers

DOI10.7169/facm/2027zbMath1529.11095OpenAlexW4312504730MaRDI QIDQ6043652

Stéphane R. Louboutin

Publication date: 23 May 2023

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/2027

zbMATH Keywords

cyclotomic fieldDedekind sums\(L\)-functionmean square valuerelative class numberDirichlet character

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29) Dedekind eta function, Dedekind sums (11F20) Cyclotomic extensions (11R18)

Cites Work

• On the size of the first factor of the class number of a cyclotomic field
• An exact formula for an average of L-series
• Mean values of L-functions and relative class numbers of cyclotomic fields
• On the First Factor of the Class Number of a Cyclotomic Field
• Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
• A twisted quadratic moment for Dirichlet $L$-functions
• Class Numbers and μ-Invariants of Cyclotomic Fields
• The Class Number of the Cyclotomic Field
• Mean square values of L-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers
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