## A generalization of Menon’s identity with respect to a set of polynomials.(English)Zbl 0856.11006

Kesava Menon established the interesting identity $\sum_{\substack{ a\bmod n\\ (a, n)=1 }} (a-1, n)= \varphi (n) \tau (n).$ The authors generalize this to several variables and polynomials with integer coefficients instead of $$a-1$$.

### MSC:

 11A25 Arithmetic functions; related numbers; inversion formulas
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