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Keywords:
Euler totient function; generalized gcd; Jordan totient function; Klee's function
Euler totient function; generalized gcd; Jordan totient function; Klee's function
Summary:
Menon's identity is a classical identity involving gcd sums and the Euler totient function $\phi $. A natural generalization of $\phi $ is the Klee's function $\Phi _s$. We derive a Menon-type identity using Klee's function and a generalization of the gcd function. This identity generalizes an identity given by Y. Li and D. Kim (2017).
References:
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