Mathematical Research Letters

Volume 13, Issue 2, March 2006 pp. 245-257.

A lower bound for average values of dynamical Green's functions

Authors: Matthew Baker
Author institution: Georgia Institute of Technology

Summary: We provide a Mahler/Elkies-style lower bound for the average values of dynamical Green's functions on $\linP^1$ over an arbitrary valued field, and give some dynamical and arithmetic applications.

Contents Full-Text PDF