Lower bounds for class numbers of real quadratic fields-Reference-Cited by-同舟云学术

Lower bounds for class numbers of real quadratic fields

Published:1986 Issue:4 Volume:96 Page:545-550
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mollin R. A.

Abstract

Based on the fundamental units of real quadratic fields we provide lower bounds for their class numbers. These results extend work of H. Hasse [2] and generalize and correct results of H. Yokoi [8, 9]. Moreover, for certain real quadratic fields we provide criteria for their class numbers to be divisible by a specific integer.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-096-04/S0002-9939-1986-0826478-X/S0002-9939-1986-0826478-X.pdf

Reference9 articles.

1. Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper;Degert, Günter;Abh. Math. Sem. Univ. Hamburg,1958

2. Über mehrklassige, aber eingeschlechtige reell-quadratische Zahlkörper;Hasse, Helmut;Elem. Math.,1965

3. Class numbers and a generalized Fermat theorem;Mollin, R. A.;J. Number Theory,1983

4. On the cyclotomic polynomial;Mollin, R. A.;J. Number Theory,1983

5. Diophantine equations and class numbers;Mollin, R. A.;J. Number Theory,1986

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