SOME RESULTS ON THE CLASS NUMBERS OF CERTAIN REAL QUADRATIC FIELDS
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, sa.1, ss.41-47, 2009 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2009
- Dergi Adı: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.41-47
- İstanbul Üniversitesi Adresli: Hayır
Özet
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.