Coding of geodesics on some modular surfaces and applications to odd and even continued fractions |
| |
Authors: | Florin P Boca Claire Merriman |
| |
Institution: | Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, United States |
| |
Abstract: | The connection between geodesics on the modular surface and regular continued fractions, established by Series, is extended to a connection between geodesics on
and odd and grotesque continued fractions, where is the index two subgroup of generated by the order three elements and , and having an ideal quadrilateral as fundamental domain.A similar connection between geodesics on
and even continued fractions is discussed in our framework, where denotes the Theta subgroup of generated by and . |
| |
Keywords: | Modular surface Geodesics coding Odd continued fractions Even continued fractions |
本文献已被 ScienceDirect 等数据库收录! |
|