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

Lower bounds for class numbers of real quadratic and biquadratic fields

Published:1987 Issue:3 Volume:101 Page:439-444
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

In this paper we provide lower bounds for class numbers of real quadratic fields of Richaud-Degert type, as well as for class numbers of related real biquadratic fields.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-101-03/S0002-9939-1987-0908645-0/S0002-9939-1987-0908645-0.pdf

Reference16 articles.

1. The least prime quadratic residue and the class number;Chowla, S.;J. Number Theory,1986

2. Class numbers and quadratic residues;Chowla, S.;Glasgow Math. J.,1976

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

4. Fundamental systems of units in number fields 𝑄(√𝐷²+𝑑,√𝐷²+4𝑑) with 𝑑𝐷;Frei, Günther;Arch. Math. (Basel),1981

5. Fundamental systems of units in biquadratic parametric number fields;Frei, Günther;J. Number Theory,1982

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Class numbers of certain families of totally real biquadratic fields and a result of Mollin;Research in Number Theory;2023-09-21

2. A Necessary and Sufficient Condition for $k = ℚ (\sqrt{4 n^{2} + 1})$ to Have Class Number $ω (n) + c$ ;International Journal of Mathematics and Mathematical Sciences;2022-05-31

3. Some Criteria for Class Numbers to Be Non-One;Journal of Mathematics;2020-11-17

4. Lower Bound for the Class Number of ℚn2+4;International Journal of Mathematics and Mathematical Sciences;2020-01-30

5. Bounds of the Ideal Class Numbers of Real Quadratic Function Fields;Acta Mathematica Sinica, English Series;2004-01