2021/01/19 by Douglas E. Iannucci, Iannucci, Douglas E., Urban Larsson +1
Computer Science · #11A25 #91A46 #Artificial Intelligence in Games #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2101.07608
openalex publication_date 2021/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.