On suborbital graphs and related continued fractions

DEĞER A. H., Besenk M., Guler B. O.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.746-750, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.03.065
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.746-750
  • Anahtar Kelimeler: Suborbital graphs, Continued fractions, Pringsheim's theorem
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study suborbital graphs for congruence subgroup Gamma(0)(n) of the modular group Gamma to have hyperbolic paths of minimal lengths. It turns out that these graphs give rise to a special continued fraction which is a special case of very famous fraction coming out from Pringsheim's theorem. (C) 2011 Elsevier Inc. All rights reserved.