SOME RESULTS ON THE CLASS NUMBERS OF CERTAIN REAL QUADRATIC FIELDS

Pekin A., CARUS A.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, sa.1, ss.41-47, 2009 (ESCI) identifier

  • 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.