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arXiv · 1807.10011

Pad\'e approximations of a class of G-functions and some applications

Keijo Väänänen
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Abstract

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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Keijo Väänänen. 2018-07-26. Pad\'e approximations of a class of G-functions and some applications. https://arxiv.org/abs/1807.10011

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