Computation of L(0, χ) and of relative class numbers of CM-fields

DOI10.1017/S0027763000022170zbMath0985.11054OpenAlexW1581845628MaRDI QIDQ2725475

Stéphane R. Louboutin

Publication date: 13 May 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000022170

zbMATH Keywords

Hecke \(L\)-functionClass number

Mathematics Subject Classification ID

Other number fields (11R21) Complex multiplication and moduli of abelian varieties (11G15) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Analytic computations (11Y35)

Related Items (5)

The class number one problem for the normal CM-fields of degree 32 ⋮ NONABELIAN NORMAL CM-FIELDS OF DEGREE 2 pq ⋮ Class number one problem for normal CM-fields ⋮ Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\) ⋮ The imaginary abelian number fields of $2$-power degrees with ideal class groups of exponent $≤2$

Cites Work

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• Artin-root numbers and normal integral bases for quaternion fields
• Upper Bounds on |L(1, χ)| and Applications
• Computation of Relative Class Numbers of Imaginary Abelian Number Fields
• The Class Number One Problem for Some Non-Abelian Normal CM-Fields of 2-Power Degrees
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• Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers

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