Pad\'e approximations of a class of G-functions and some applications
Number Theory
2018-07-27 v1
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.
Keywords
Cite
@article{arxiv.1807.10011,
title = {Pad\'e approximations of a class of G-functions and some applications},
author = {Keijo Väänänen},
journal= {arXiv preprint arXiv:1807.10011},
year = {2018}
}