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.
翻译:数字理论中的自学函数符合组合游戏理论中的 Sprague-Grundy 函数。 我们研究了由标准算术函数引发的各种由二玩家游戏引发的游戏,例如欧克利得分、 divisors、 剩余和相对质数, 以及它们的否定。