Algebraic independence of infinite series
Number Theory
2025-02-27 v1
Abstract
We give conditions on a finite set of series of rational numbers to ensure that they are algebraically independent. Specialising our results to polynomials of lower degree, we also obtain new results on irrationality and -linear independence of such series.
Cite
@article{arxiv.2502.19079,
title = {Algebraic independence of infinite series},
author = {Jaroslav Hancl and Mathias L. Laursen and Simon Kristensen},
journal= {arXiv preprint arXiv:2502.19079},
year = {2025}
}