Minorations d’unités fondamentales—applications-Reference-Cited by-同舟云学术

Minorations d’unités fondamentales—applications

Published:1993-06 Issue: Volume:130 Page:1-18
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Louboutin Stéphane

Abstract

Un idéal entier I d’un corps quadratique réel k est dit primitif lorsque n ∈ N* et (n) divise I impliquent n = 1. Un idéal entier est primitif si et seulement si il vérifie les trois conditions suivantes:(i) il n’est divisible par aucun idéal premier inerte,(ii) il n’est divisible par le carré d’aucun idéal premier ramifié,(iii) si il est divisible par un idéal premier totalement décomposé, alors il n’est pas divisible par son idéal premier conjugué.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Two families of periodic Jacobi Algorithms with period lengths going to infinity

2. On determining certain real quadratic fields with class number one and relating this property to continued fractions and primality properties

3. Fundamental units and cycles in the period of real quadratic number fields. I

4. Real quadratic number fields with large fundamental units;Yamamoto;Osaka J. Math.,1971

5. On the fundamental units and the class numbers of real quadratic fields;Azuhata;Proc. Japan Acad., Sci.,1986

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