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arXiv · 1912.12850

A Menon-type identity using Klee's function

Arya Chandran·Neha Elizabeth Thomas·K Vishnu Namboothiri
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Abstract

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 $\Phi_s$. In this paper we derive a Menon-type identity using Klee's function and a generalization of the gcd function. This identity generalizes an identity given by Lee and Kim in [\textit{J. Number Theory 175, 42--50(2017)}].

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Arya Chandran, Neha Elizabeth Thomas, K Vishnu Namboothiri. 2019-12-30. A Menon-type identity using Klee's function. https://arxiv.org/abs/1912.12850

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