Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields

DOI10.4064/aa121-3-1zbMath1122.11053OpenAlexW2071703275MaRDI QIDQ5478102

Stéphane R. Louboutin

Publication date: 30 June 2006

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

Full work available at URL: https://doi.org/10.4064/aa121-3-1

zbMATH Keywords

\(L\)-functionrelative class numberCM-fieldimaginary abelian number field

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) 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) Other abelian and metabelian extensions (11R20)

Related Items (5)

Variations in the distribution of principally polarized abelian varieties among isogeny classes ⋮ Relative class numbers inside the \(p\)th cyclotomic field ⋮ Genus-2 curves and Jacobians with a given number of points ⋮ Note on Bernoulli numbers associated to some Dirichlet character of prime conductor ⋮ Real zeros of Dedekind zeta functions

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