Computation of Relative Class Numbers of Imaginary Abelian Number Fields

DOI10.1080/10586458.1998.10504375zbMath0929.11065OpenAlexW1990815155MaRDI QIDQ4235995

Stéphane R. Louboutin

Publication date: 25 January 2000

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1047674147

zbMATH Keywords

algorithmgeneralized Bernoulli numbersclass numbersabelian number fieldsArtin root numbers

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) 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 (9)

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ Relative class number of imaginary Abelian fields of prime conductor below 10000 ⋮ Relative class numbers of subfields of the \(p\)-th cyclotomic field ⋮ Dihedral CM fields with class number one ⋮ Computation of L(0, χ) and of relative class numbers of CM-fields ⋮ The exponent three class group problem for some real cyclic cubic number fields ⋮ Class number bounds and Catalan’s equation ⋮ Computation of relative class numbers of CM-fields by using Hecke $L$-functions ⋮ Computation of class numbers of quadratic number fields

Cites Work

• Artin-root numbers and normal integral bases for quaternion fields
• The determination of Gauss sums
• Class number bounds and Catalan’s equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Computation of Relative Class Numbers of Imaginary Abelian Number Fields