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The connections between continued fraction representations of units and certain hecke groups
Journal article   Peer reviewed

The connections between continued fraction representations of units and certain hecke groups

Recep Şahin, Sebahattin İkikardeş, Özden Koruoğlu and İsmail Naci Cangül
Bulletin of The Malaysian Mathematical Sciences Society, Vol.33(2), pp.205-210
2010

Abstract

Continued Fraction Cusp Point Fuchsian Group Hecke Group
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.

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