The explicit formula and parity for some generalized Euler functions
Utilizing elementary methods and techniques, the explicit formula for the generalized Euler function $ \varphi_{e}(n)(e = 8, 12) $ has been developed. Additionally, a sufficient and necessary condition for $ \varphi_{8}(n) $ or $ \varphi_{12}(n) $ to be odd has been obtained, respectively.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-04-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024609?viewType=HTML |