Abstract
As we have seen in Chap. 1, the digits of a number system correspond to transformations which are in all cases Möbius transformations of the form \(M(x) = \frac{ax+b}{cx+d}\).
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References
Coxeter, H.S.M.: Projective Geometry. Springer, Berlin (2003)
Silverman, R.A.: Introductory Complex Analysis. Dover Publications, New York (1972)
Beardon, A.F.: The Geometry of Discrete Groups. Springer, Berlin (1995)
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Kůrka, P. (2016). Matrices and Transformations. In: Dynamics of Number Systems. Studies in Systems, Decision and Control, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-319-33367-0_3
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DOI: https://doi.org/10.1007/978-3-319-33367-0_3
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