NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS-Reference-Cited by-同舟云学术

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NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS

Published:2021-05-20 Issue: Volume: Page:1-6
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

KRISHNAMOORTHY SRIlAKSHMI,PASUPULATI SUNIL KUMAR

Abstract

Abstract For any odd prime p, we construct an infinite family of imaginary quadratic fields whose class numbers are divisible by p. We give a corollary that settles Iizuka’s conjecture for the case n=1 and p>2.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. On the class number of certain imaginary quadratic fields

2. Parametrization of the Quadratic Fields Whose Class Numbers are Divisible by Three

3. On the divisibility of class numbers of imaginary quadratic fields ($$ {\mathbb {Q}}(\sqrt{D}), {\mathbb {Q}}(\sqrt{D+m})$$)

4. Divisibility of class numbers of certain families of quadratic fields;Hoque;J. Ramanujan Math. Soc.,2019

Cited by 4 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. The divisibility of the class number of the imaginary quadratic fields $${\mathbb {Q}}(\sqrt{1-2m^k})$$;The Ramanujan Journal;2024-05-16

2. On the p-rationality of consecutive quadratic fields;Journal of Number Theory;2023-07

3. Lehmer sequence approach to the divisibility of class numbers of imaginary quadratic fields;The Ramanujan Journal;2022-11-24

4. On a conjecture of Iizuka;Journal of Number Theory;2021-08

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