A lower bound for average values of dynamical Green's functions
Number Theory
2007-05-23 v4 Dynamical Systems
Abstract
We provide a Mahler/Elkies-style lower bound for the average values of dynamical Green's functions on the projective line over an arbitrary valued field, and give some dynamical and arithmetic applications.
Cite
@article{arxiv.math/0507484,
title = {A lower bound for average values of dynamical Green's functions},
author = {Matthew Baker},
journal= {arXiv preprint arXiv:math/0507484},
year = {2007}
}
Comments
15 pages; to appear in Mathematical Research Letters. Removed remark following Lemma 3.1