SOME RESULTS ON SPECIAL CONTINUED FRACTION EXPANSIONS IN REAL QUADRATIC NUMBER FIELDS

Ozer O., Ozel C.

Journal of Mathematical Analysis, cilt.7, sa.4, ss.98-107, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: Journal of Mathematical Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.98-107
  • Anahtar Kelimeler: Quadratic Field, Continued Fraction, Fundamental Unit
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

The aim of this paper is to determine and investigate the continued fractions expansions of wd for the real quadratic number fields Q(root d) for which the period has constant elements that are completely equal to 2 (except the last digit of period) in the symetric part of the period of integral basis element where d 2, 3 mod 4 is a square free positive integer.