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[数论] 两两不同余&函数

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hbghlyj

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hbghlyj posted 2019-7-29 12:21 |Read mode
定义f(x)判别子$D_f(n):=min\{m \in {{\Bbb Z}^ + }|f(1),f(2),...,f(n)模m两两不同余\}$,若f(x)=x(3x-1),求证:$D_f(n)=3^{[log_3n]}$
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