Game values of arithmetic functions

Published 19 Jan 2021 in math.NT, cs.DM, and math.CO | (2101.07608v3)

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.

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