On a theorem of Serret on continued fractions
Number Theory
2015-07-09 v2
Abstract
A classical theorem in continued fractions due to Serret shows that for any two irrational numbers x and y related by a transformation in PGL(2,Z) there exist s and t for which the complete quotients x_s and y_t coincide. In this paper we give an upper bound in terms of for the smallest indices s and t.
Keywords
Cite
@article{arxiv.1301.5944,
title = {On a theorem of Serret on continued fractions},
author = {Paloma Bengoechea},
journal= {arXiv preprint arXiv:1301.5944},
year = {2015}
}