Effective lower bounds on large fundamental units of real quadratic fields
type: Item
instance of: scholarly article
title: Effective lower bounds on large fundamental units of real quadratic fields
zbMATH Open document ID: 0586.12005
published in: Osaka Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: \textit{Y. Yamamoto} [ibid. 8, 261--270 (1971; Zbl 0243.12001)], gave classes of large fundamental units for real quadratic fields. The author uses again some hypotheses about ideals being principal to imply some effective lower bounds on fundamental units. Though Gauss' conjecture that infinitely many real quadratic fields have class number one is still open, his results are very interesting.
reviewed by: Claude Levesque
Mathematics Subject Classification ID: 11R27
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 3939447
zbMATH Keywords: fundamental units
zbMATH Keywords: real quadratic fields
author: Clifford A. Reiter
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3939447