Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors

We will prove a theorem providing sufficient condition for the divisibility of class numbers of certain imaginary quadratic fields by 2g, where g>1 is an integer and the discriminant of such fields has only two prime divisors.

Saved in:
Bibliographic Details
Main Author: A. Pekin
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/570154
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832552422016286720
author A. Pekin
author_facet A. Pekin
author_sort A. Pekin
collection DOAJ
description We will prove a theorem providing sufficient condition for the divisibility of class numbers of certain imaginary quadratic fields by 2g, where g>1 is an integer and the discriminant of such fields has only two prime divisors.
format Article
id doaj-art-3db3165e65d64c308eb468b8ea898fa1
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-3db3165e65d64c308eb468b8ea898fa12025-02-03T05:58:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/570154570154Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime FactorsA. Pekin0Department of Mathematics, Faculty of Science, Istanbul University, 34134 Istanbul, TurkeyWe will prove a theorem providing sufficient condition for the divisibility of class numbers of certain imaginary quadratic fields by 2g, where g>1 is an integer and the discriminant of such fields has only two prime divisors.http://dx.doi.org/10.1155/2012/570154
spellingShingle A. Pekin
Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
Abstract and Applied Analysis
title Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
title_full Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
title_fullStr Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
title_full_unstemmed Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
title_short Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
title_sort divisibility criteria for class numbers of imaginary quadratic fields whose discriminant has only two prime factors
url http://dx.doi.org/10.1155/2012/570154
work_keys_str_mv AT apekin divisibilitycriteriaforclassnumbersofimaginaryquadraticfieldswhosediscriminanthasonlytwoprimefactors