Padé approximations of a class of G-functions and some applications

2018/07/26 by Väänänen, Keijo
#11J13 #11J61 #11J82 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1807.10011

Abstract

We construct explicitly Padé approximations of the second kind for a special class of G-functions. These are then applied to prove a Baker-type lower bound for linear forms in the p-adic values of these functions. Moreover, we consider restricted rational approximations of the values of these functions in the real case.

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