The connections between continued fraction representations of units and certain hecke groups
Date
2010
Authors
Şahin, Recep
İkikardeş, Sebahattin
Koruoğlu, Özden
Journal Title
Journal ISSN
Volume Title
Publisher
Malaysian Mathematical Sciences Soc
Abstract
Let lambda = root D where D is a square free integer such that D = m(2)+1 for m = 1,3, 4, 5,..., or D = n(2) - 1 form = 2, 3, 4, 5,.... Also, let H(lambda) be the Hecke group associated to A. In this paper, we show that the units in H(lambda) are infinite pure periodic lambda-continued fraction for a certain set of integer D, and hence can not be cusp points.
Description
Keywords
Hecke group, Fuchsian group, Continued fraction, Cusp point, Principal congruence subgroups, Mathematics
Citation
Şahin, R. vd. (2010). "The connections between continued fraction representations of units and certain hecke groups". Bulletin of the Malaysian Mathematical Sciences Society, 33(2), 205-210.