Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, Vol. 72, No. 1, pp. 165-176, 2022

A Menon-type identity using Klee's function

Arya Chandran, Neha Elizabeth Thomas, K. Vishnu Namboothiri

Received August 26, 2020. Published online April 16, 2021.

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 $\Phi_s$. 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).

Keywords: Euler totient function; generalized gcd; Jordan totient function; Klee's function

Classification MSC: 11A07, 11A25, 20D60, 20D99

DOI: 10.21136/CMJ.2021.0370-20

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Arya Chandran, Neha Elizabeth Thomas, Department of Mathematics, University College, Thiruvananthapuram, Kerala 695034, India, e-mail: aryavinayachandran@gmail.com, nehathomas2009@gmail.com; K. Vishnu Namboothiri (corresponding author), Department of Mathematics, Government College, Ambalapuzha, Kerala 688561, India; Department of Collegiate Education, Government of Kerala, Vikas Bhavan, Thiruvananthapuram 695 033, India, e-mail: kvnamboothiri@gmail.com

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