Mathematical Research Letters

Volume 13 (2006)

Number 2

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

Pages: 245 – 257

DOI: http://dx.doi.org/10.4310/MRL.2006.v13.n2.a6

Author

Matthew Baker (Georgia Institute of Technology)

Abstract

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.

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