A Menon-type identity using Klee's function

Arya Chandran; Neha Elizabeth Thomas; K. Vishnu Namboothiri

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 1, page 165-176
  • ISSN: 0011-4642

Abstract

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Menon’s identity is a classical identity involving gcd sums and the Euler totient function φ . A natural generalization of φ is the Klee’s function Φ 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).

How to cite

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Chandran, Arya, Thomas, Neha Elizabeth, and Namboothiri, K. Vishnu. "A Menon-type identity using Klee's function." Czechoslovak Mathematical Journal 72.1 (2022): 165-176. <http://eudml.org/doc/298242>.

@article{Chandran2022,
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).},
author = {Chandran, Arya, Thomas, Neha Elizabeth, Namboothiri, K. Vishnu},
journal = {Czechoslovak Mathematical Journal},
keywords = {Euler totient function; generalized gcd; Jordan totient function; Klee's function},
language = {eng},
number = {1},
pages = {165-176},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Menon-type identity using Klee's function},
url = {http://eudml.org/doc/298242},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Chandran, Arya
AU - Thomas, Neha Elizabeth
AU - Namboothiri, K. Vishnu
TI - A Menon-type identity using Klee's function
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 1
SP - 165
EP - 176
AB - 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).
LA - eng
KW - Euler totient function; generalized gcd; Jordan totient function; Klee's function
UR - http://eudml.org/doc/298242
ER -

References

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