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

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/28396

Title:	The connections between continued fraction representations of units and certain hecke groups
Authors:	Şahin, Recep İkikardeş, Sebahattin Koruoğlu, Özden Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-0700-5774 Cangül, İsmail Naci J-3505-2017 57189022403
Keywords:	Hecke group Fuchsian group Continued fraction Cusp point Principal congruence subgroups Mathematics
Issue Date:	2010
Publisher:	Malaysian Mathematical Sciences Soc
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.
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.
URI:	http://hdl.handle.net/11452/28396
ISSN:	0126-6705
Appears in Collections:	Scopus Web of Science

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