
[Thm 1] For integers m, n, x, if m and n are coprime, then the followings are equivalent.(a) gcd(b) \gcd(m, x) = 1 and \gcd(n, x) = 1(c) \gcd(m, a) = 1 and \gcd(n, b) = 1 where a and b are remainders of x divided by m and n, respectively.[Def] \mathbb{U}_n := \{x\in \mathbb{Z} \;|\; 0 \le x Given two coprime positive integers m, n$, define a function..
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2025. 1. 6. 21:17