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arXiv:1807.10011 [math.NT]AbstractReferencesReviewsResources

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

Keijo Väänänen

Published 2018-07-26Version 1

We construct explicitly Pad\'e 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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