Game values of arithmetic functions
Number Theory
2021-07-06 v3 Discrete Mathematics
Combinatorics
Abstract
Arithmetic functions in Number Theory meet the Sprague-Grundy function from Combinatorial Game Theory. We study a variety of 2-player games induced by standard arithmetic functions, such as Euclidian division, divisors, remainders and relatively prime numbers, and their negations.
Cite
@article{arxiv.2101.07608,
title = {Game values of arithmetic functions},
author = {Douglas E. Iannucci and Urban Larsson},
journal= {arXiv preprint arXiv:2101.07608},
year = {2021}
}
Comments
20 pages, 4 figures