Zero order estimates for Mahler functions

2016/06/02 by Coons, Michael
#FOS: Mathematics #Number Theory (math.NT) #Primary 11J82 #Secondary 11J25

paper · doi:10.48550/arxiv.1606.00643

Abstract

We give an upper bound for the zero order of the difference between a Mahler function and an algebraic function. This complements estimates of Nesterenko, Nishioka, and Töpfer, among others, who considered polynomials evaluated at Mahler functions.

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