Growth function for an $n$-valued dynamics
Dynamical Systems
2023-09-26 v1 Exactly Solvable and Integrable Systems
Abstract
This article answers the question of V.M. Buchstaber about the growth function of a particular -valued group. This question is closely related to discrete integrable systems. In this paper, we will find a formula for the growth function in the case when is prime. In addition, we will prove a polynomial asymptotic estimate for the growth function in the general case. Finally, we will pose new problems and hypotheses about growth functions.
Keywords
Cite
@article{arxiv.2309.14251,
title = {Growth function for an $n$-valued dynamics},
author = {M. Chirkov},
journal= {arXiv preprint arXiv:2309.14251},
year = {2023}
}