Distribution of units of real quadratic number fields
Journal
Nagoya Mathematical Journal
Journal Volume
158
Pages
167-184
Date Issued
2000
Author(s)
Abstract
Abstract Let 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.
Type
journal article