Majorization of the number of classes of a cyclic cubic field of prime conductor

DOI10.2969/jmsj/03340701zbMath0456.12004OpenAlexW2095162790MaRDI QIDQ1150403

Claude Moser, Jean-Jacques Payan

Publication date: 1981

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1239802076

zbMATH Keywords

class numberregulatorL-functioncubic subfield of cyclotomic field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Related Items (8)

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ On Vandiver's conjecture ⋮ Explicit upper bounds for values at \(s=1\) of Dirichlet \(L\)-series associated with primitive even characters. ⋮ The determination of the imaginary abelian number fields with class number one ⋮ Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields ⋮ The Determination of the Imaginary Abelian Number Fields with Class Number One ⋮ A remark on the class-number of the maximal real subfield of a cyclotomic field. III ⋮ Nombre de classes d'une extension cyclique reelle deQ, de degre 4 ou 6 et de conducteur premier

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