Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant

DOI10.2140/PJM.1987.128.209zbMath0649.12003OpenAlexW1984498112MaRDI QIDQ1105641

Pierre Barrucand, Hugh C. Williams, John H. Loxton

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102699099

zbMATH Keywords

upper boundsclass numberregulatordiscriminantcubic number field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (5)

The class-number one problem for some real cubic number fields with negative discriminants ⋮ Class-number problems for cubic number fields ⋮ Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals ⋮ Short principal ideal problem in multicubic fields ⋮ Quadratic extensions of the rational field, the Gauss field or the field of cubic roots of unity of caliber 1

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