【摘要】 对于正整数k,设φ(k)和ψ(k)分别是k的Euler函数和Dedekind函数.证明了方程φ((ψ(x))y)=xy仅有正整数解(x,y)=(1,t),其中t是任意正整数.更多还原

【Abstract】 Let φ(k) and ψ(k) denote the Euler function and the Dedekind function of k respectively.ln this paper we prove that the equation φ((ψ(x))y)=xy has only the positive integer solutions (x,y)=(1,t),where t is an arbitrary positive integer.更多还原