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Class-number problems for cubic number fields

Published online by Cambridge University Press:  22 January 2016

Stéphane Louboutin*
Affiliation:
Université de Caen, U. F. R. Sciences Département de Mathématiques Esplanade de la Paix 14032 Caen Cedex, FRANCE email: loubouti@math.unicaen.fr
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Let M be any number field. We let D M, d M, hu , , AM and RegM be the discriminant, the absolute value of the discriminant, the class-number, the Dedekind zeta-function, the ring of algebraic integers and the regulator of M, respectively.

we set If q is any odd prime we let (⋅/q) denote the Legendre’s symbol.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995