Metric and arithmetic properties of mediant-Rosen maps
Number Theory
2015-05-13 v1
Abstract
A continued fractions based verification of the Hurwitz values for the Hecke triangle groups is given, completing a program of Lehner's. Ergodic theory shows that Diophantine approximation by mediant convergents of the Rosen continued fractions is sufficient to determine the values that Haas and Series found by hyperbolic geometry.
Keywords
Cite
@article{arxiv.0812.0548,
title = {Metric and arithmetic properties of mediant-Rosen maps},
author = {Cor Kraaikamp and Hitoshi Nakada and Thomas A. Schmidt},
journal= {arXiv preprint arXiv:0812.0548},
year = {2015}
}
Comments
27 pages, 7 figures