On a criterion for algebraic independence and its variants
Number Theory
2023-12-01 v1
Abstract
From around 2010 onward, Elsner et al.,developed and applied a method in which the algebraic independence of n quantities x_1,...,x_n over a field is transferred to further n quantities y_1,...,y_n by means of a system of polynomials in 2n variables X_1,...,X_n,Y_1,...,Y_n. In this paper, we systematically study and explain this criterion and its variants.
Cite
@article{arxiv.2311.18536,
title = {On a criterion for algebraic independence and its variants},
author = {Gessica Alecci and Carsten Elsner},
journal= {arXiv preprint arXiv:2311.18536},
year = {2023}
}