Algebraic Independence Measures for Values of E-functions and M-functions
Number Theory
2025-02-17 v1
Abstract
In this article, we establish a Liouville-type inequality for polynomials evaluated at the values of arbitrary Siegel E-functions at non-zero algebraic points. Additionally, we provide a comparable result within the framework of Mahler M -functions.
Keywords
Cite
@article{arxiv.2502.09999,
title = {Algebraic Independence Measures for Values of E-functions and M-functions},
author = {Colin Faverjon and Boris Adamczewski},
journal= {arXiv preprint arXiv:2502.09999},
year = {2025}
}