Symmetric Functions over Finite Fields
Symbolic Computation
2023-09-26 v1 Discrete Mathematics
Combinatorics
Abstract
The number of linear independent algebraic relations among elementary symmetric polynomial functions over finite fields is computed. An algorithm able to find all such relations is described. It is proved that the basis of the ideal of algebraic relations found by the algorithm consists of polynomials having coefficients in the prime field F_p.
Cite
@article{arxiv.2309.13804,
title = {Symmetric Functions over Finite Fields},
author = {Mihai Prunescu},
journal= {arXiv preprint arXiv:2309.13804},
year = {2023}
}
Comments
In Proceedings FROM 2023, arXiv:2309.12959