| Title:
|
A Menon-type identity using Klee's function (English) |
| Author:
|
Chandran, Arya |
| Author:
|
Thomas, Neha Elizabeth |
| Author:
|
Namboothiri, K. Vishnu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
165-176 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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). (English) |
| Keyword:
|
Euler totient function |
| Keyword:
|
generalized gcd |
| Keyword:
|
Jordan totient function |
| Keyword:
|
Klee's function |
| MSC:
|
11A07 |
| MSC:
|
11A25 |
| MSC:
|
20D60 |
| MSC:
|
20D99 |
| idZBL:
|
Zbl 07511559 |
| idMR:
|
MR4389112 |
| DOI:
|
10.21136/CMJ.2021.0370-20 |
| . |
| Date available:
|
2022-03-25T08:29:01Z |
| Last updated:
|
2024-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149579 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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