A Geometric Representation of Continued Fractions
نویسندگان
چکیده
Inspired by work of Ford, we describe a geometric representation of real and complex continued fractions by chains of horocycles and horospheres in hyperbolic space. We explore this representation using the isometric action of the group of Möbius transformations on hyperbolic space, and prove a classical theorem on continued fractions.
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عنوان ژورنال:
- The American Mathematical Monthly
دوره 121 شماره
صفحات -
تاریخ انتشار 2014