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math.NT2021
Game values of arithmetic functions
Douglas E. Iannucci, Urban Larsson
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…
math.NT2012
Comply subtraction games avoiding arithmetic progressions
Urban Larsson
Impartial subtraction games on the nonnegative integers have been studied by many and discussed in detail in for example the remarkable work Winning Ways by Conway, Berlekamp and G…