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arXiv · 2112.11725

The Explicit Formula and Parity for Some Generalized Euler Functions

Shichun Yang·Qunying Liao·Shan Du·Huili Wang
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Abstract

Based on elementary methods and techniques, the explicit formula for the generalized Euler function $\varphi_{e}(n)(e=8,12)$ is given, and then a sufficient and necessary condition for $\varphi_{8}(n)$ or $\varphi_{12}(n)$ to be odd is obtained, respectively.

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Shichun Yang, Qunying Liao, Shan Du, Huili Wang. 2021-12-22. The Explicit Formula and Parity for Some Generalized Euler Functions. https://arxiv.org/abs/2112.11725

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