English

Zero order estimates for Mahler functions

Number Theory 2016-06-29 v2

Abstract

We give an upper bound for the zero order of the difference between a Mahler function and an algebraic function. This complements estimates of Nesterenko, Nishioka, and T\"opfer, among others, who considered polynomials evaluated at Mahler functions.

Cite

@article{arxiv.1606.00643,
  title  = {Zero order estimates for Mahler functions},
  author = {Michael Coons},
  journal= {arXiv preprint arXiv:1606.00643},
  year   = {2016}
}

Comments

5 pages, version 2 has a few fixed typos

R2 v1 2026-06-22T14:15:48.920Z