与Euler函数φ(n)有关的几个方程
Several equations related to the Euler function φ(n)
云南民族大学学报:自然科学版,2017,26(4):296-298

白继文 BJW

摘要


研究了方程φ(x-φ2(x))=2与φ2(x-φ2(x))=2的正整数解的问题,利用初等方法给出了这两个方程的所有正整数解,其中φ(n)是Euler函数,φ2(n)是广义Euler函数. This paper studies the solvability of the equation φ(x-φ2(x))=2 and φ2(x-φ2(x))=2, and all positive integer solutions were obtained by using the elementary method, of which φ(n) was the Euler function, while φ2(n) was a generalized Euler function.

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