On Padé approximations and global relations of some Euler-type series

2017/05/11 by Väänänen, Keijo
#11J13 (Primary) #11J61 #11J72 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1705.04183

Abstract

We shall consider some special generalizations of Euler's factorial series. First we construct Padé approximations of the second kind for these series. Then these approximations are applied to study global relations of certain p-adic values of the series.

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