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math.NT2005★ 7 cited
Global discrepancy and small points on elliptic curves
Matthew Baker, Clayton Petsche
Let E be an elliptic curve defined over a number field k. In this paper, we define the ``global discrepancy'' of a finite set Z of algebraic points on E which in a precise sense me…
math.NT2005
A lower bound for average values of dynamical Green's functions
Matthew Baker
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 an…