Lower Bound for the Class Number of ℚn2+4-Reference-Cited by-同舟云学术

Lower Bound for the Class Number of ℚn2+4

Published:2020-01-30 Issue: Volume:2020 Page:1-4
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Sankari Hasan¹,Issa Ahmad¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Tishreen University, Lattakia, Syria

Abstract

In this paper, we give an explicit lower bound for the class number of real quadratic field ℚd, where d=n2+4 is a square-free integer, using ωn which is the number of odd prime divisors of n.

Funder

Tishreen University

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2020/9519613.pdf

Reference11 articles.

1. On Real Quadratic Fields Containing Units with Norm -1

2. On the fundamental unit of real quadratic fields with norm 1

3. Lower bounds for class numbers of real quadratic fields

4. Lower bounds for class numbers of real quadratic and biquadratic fields

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