On the existance of universal polynomials for even-valued classes of linear functions

Recieved: 01/18/2023

Accepted: 01/30/2023

Published: 05/31/2023

Keywords: generation, universal function, sum modulo, polynimial

To cite this article

Voronenko A.A. On the existance of universal polynomials for even-valued classes of linear functions. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2023. N 2, p.3-4 https://doi.org/10.55959/MSU/0137–0782–15–2023–47–2–3–4.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Voronenko A.A. (Lomonosov Moscow State University (MSU))

Abstract

It was proved earlier that product xy is a universal function for the class of linear functions depending on two arguments if k = 6l±1. In the paper we prove that there is no universal polynomials for the class of linear functions depending on two arguments for any even k.