On simultaneous approximation of the values of certain Mahler functions
arXiv:1505.00931
Abstract
In this paper, we estimate the simultaneous approximation exponents of the values of certain Mahler functions. For this we construct Hermite-Padé approximations of the functions under consideration, then apply the functional equations to get an infinite sequence of approximations and use the numerical approximations obtained from this sequence.
16 pages, added Corollary 1, corrected Appendix C, improved the proof of Theorem 3, added and updated references