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arxiv: math/0507484 · v4 · submitted 2005-07-22 · 🧮 math.NT · math.DS

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

classification 🧮 math.NT math.DS
keywords dynamicalaverageboundfunctionsgreenlowervaluesapplications
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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.

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