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Game values of arithmetic functions (2101.07608v3)
Published 19 Jan 2021 in math.NT, cs.DM, and math.CO
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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