Mean values of L-functions and relative class numbers of cyclotomic fields

DOI10.5486/PMD.2011.4882zbMath1240.11133OpenAlexW2031965850MaRDI QIDQ3106103

Stéphane R. Louboutin

Publication date: 19 December 2011

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2011.4882

zbMATH Keywords

cyclotomic fieldsrelative class numberDirichlet \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (8)

Mean square value of \(L\)-functions at \(s=1\) for non-primitive characters, Dedekind sums and bounds on relative class numbers ⋮ Mean square values of L-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers ⋮ Mean values of \(L\)-functions and Dedekind sums ⋮ The first factor of the class number of the \(p\)-th cyclotomic field ⋮ A twisted quadratic moment for Dirichlet $L$-functions ⋮ Upper bounds on relative class numbers of cyclotomic fields ⋮ Infinite families of cyclotomic function fields with any prescribed class group rank ⋮ On the mean square value of the Dirichlet L-function at positive integers

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