On determining certain real quadratic fields with class number one and relating this property to continued fractions and primality properties-Reference-Cited by-同舟云学术

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

Published:1991-12 Issue: Volume:124 Page:157-180
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Dubois Eugène,Levesque Claude

Abstract

Thanks to K. Heegner [He], A. Baker [Ba] and H. Stark [S], we know that there are nine imaginary quadratic fields of class number one. Gauss conjectured that there are infinitely many real quadratic fields of class number one, but the conjecture is still open.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. Continued fraction expansions and fundamental units;Levesque;J. Math. Phy. Sci,1988

2. A complete determination of the complex quadratic fields of class number one;Stark;Michigan Math. J,1967

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

4. On the class number of real quadratic fields;Lu;Scientia Sinica,1979

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