English

Power Series with Coefficients from a Finite Set

Combinatorics 2016-06-17 v1 Commutative Algebra

Abstract

We prove in this paper that a multivariate D-finite power series with coefficients from a finite set is rational. This generalizes a rationality theorem of van der Poorten and Shparlinski in 1996.

Keywords

Cite

@article{arxiv.1606.04986,
  title  = {Power Series with Coefficients from a Finite Set},
  author = {Jason P. Bell and Shaoshi Chen},
  journal= {arXiv preprint arXiv:1606.04986},
  year   = {2016}
}

Comments

11 pages

R2 v1 2026-06-22T14:26:28.756Z