A Menon-type identity using Klee's function
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 1, pp. 165-176
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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).
DOI :
10.21136/CMJ.2021.0370-20
Classification :
11A07, 11A25, 20D60, 20D99
Keywords: Euler totient function; generalized gcd; Jordan totient function; Klee's function
Keywords: Euler totient function; generalized gcd; Jordan totient function; Klee's function
@article{10_21136_CMJ_2021_0370_20,
author = {Chandran, Arya and Thomas, Neha Elizabeth and Namboothiri, K. Vishnu},
title = {A {Menon-type} identity using {Klee's} function},
journal = {Czechoslovak Mathematical Journal},
pages = {165--176},
publisher = {mathdoc},
volume = {72},
number = {1},
year = {2022},
doi = {10.21136/CMJ.2021.0370-20},
mrnumber = {4389112},
zbl = {07511559},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0370-20/}
}
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 SP - 165 EP - 176 VL - 72 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0370-20/ DO - 10.21136/CMJ.2021.0370-20 LA - en ID - 10_21136_CMJ_2021_0370_20 ER -
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Chandran, Arya; Thomas, Neha Elizabeth; Namboothiri, K. Vishnu. A Menon-type identity using Klee's function. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 1, pp. 165-176. doi: 10.21136/CMJ.2021.0370-20
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