A quantitative estimate for quasi-integral points in orbits
Number Theory
2011-05-30 v1 Dynamical Systems
Abstract
Let f(z) be a rational function of degree at least 2 with coefficients in a number field K, and assume that the second iterate f^2(z) of f(z) is not a polynomial. The second author previously proved that for any b in K, the forward orbit O_f(b) contains only finitely many quasi-S-integral points. In this note we give an explicit upper bound for the number of such points.
Keywords
Cite
@article{arxiv.0910.4498,
title = {A quantitative estimate for quasi-integral points in orbits},
author = {Liang-Chung Hsia and Joseph H. Silverman},
journal= {arXiv preprint arXiv:0910.4498},
year = {2011}
}
Comments
23 pages