Distribution of units of real quadratic number fields-Reference-Cited by-同舟云学术

Distribution of units of real quadratic number fields

Published:2000-12 Issue: Volume:158 Page:167-184
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Chen Yen-Mei J.,Kitaoka Yoshiyuki,Yu Jing

Abstract

AbstractLet k be a real quadratic field and k, E the ring of integers and the group of units in k. Denoting by E() the subgroup represented by E of (k/)× for a prime ideal , we show that prime ideals for which the order of E() is theoretically maximal have a positive density under the Generalized Riemann Hypothesis.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

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4. Masima K. , On the distribution of units in the residue class field of real quadratic fields and Artin’s conjecture (in Japanese), RIMS Kokyuroku, 1026 (1998), 156–166.

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