A multivariate version of Polya-Carlson theorem
Complex Variables
2023-12-27 v4
Abstract
Polya-Carlson theorem asserts that if a power series with integer coefficients and convergence radius 1 can be extended holomorphically out of the unit disc, it must represent a rational function. In this note, we give a generalization of this result to multivariate case and give an application to rationality theorem about D-finite power series.
Keywords
Cite
@article{arxiv.2312.00428,
title = {A multivariate version of Polya-Carlson theorem},
author = {Tianlong Yu},
journal= {arXiv preprint arXiv:2312.00428},
year = {2023}
}