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这道题积性函数对吗??

Posted by chaisencs at 2009-08-16 16:05:21 on Problem 3604
假设f(N)为结果,若a*b=N且二者互质,那么f(N)=f(a)*f(b)对吗?
我只知道f(N)=1^3+2^3+...+g(N)^3  其中g(N)是N的因子个数
而且g(N)=g(a)*g(b),这个是正确的。可f(N)=f(a)*f(b)对吗?

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