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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 570154, 4 pages
doi:10.1155/2012/570154
Research Article
Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors
Department of Mathematics, Faculty of Science, Istanbul University, 34134 Istanbul, Turkey
Received 17 October 2012; Accepted 4 November 2012
Academic Editor: Haydar Akca
Copyright © 2012 A. Pekin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We will prove a theorem providing sufficient condition for the divisibility of class numbers of certain imaginary quadratic fields by 2, where is an integer and the discriminant of such fields has only two prime divisors.