English

A Menon-type identity using Klee's function

Number Theory 2020-09-28 v4

Abstract

Menon's identity is a classical identity involving gcd sums and the Euler totient function ϕ\phi. A natural generalization of ϕ\phi is the Klee's function Φs\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)}].

Cite

@article{arxiv.1912.12850,
  title  = {A Menon-type identity using Klee's function},
  author = {Arya Chandran and Neha Elizabeth Thomas and K Vishnu Namboothiri},
  journal= {arXiv preprint arXiv:1912.12850},
  year   = {2020}
}
R2 v1 2026-06-23T12:58:48.442Z