SOME RESULTS ON THE CLASS NUMBERS OF CERTAIN REAL QUADRATIC FIELDS
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, no.1, pp.41-47, 2009 (ESCI)
- Publication Type: Article / Article
- Publication Date: 2009
- Journal Name: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.41-47
- Istanbul University Affiliated: No
Abstract
In this paper, we revisit the relations between the fundamental units' coefficients of the real quadratic fields K = Q(root D) and convergents of the continued fraction expansions of W-D. Furthermore, we provide a theorem and obtain some new results on the class numbers of K = Q(root D) by using solvability of the equation x(2) - Dy-2 = sigma(2) and the relations mentioned above.