Some Arithmetical Functions Like Functions in the Polynomial Ring Over $\mathbb{Z}_p$


Keywords:
Arithmetical functions, Polynomials over $\mathbb{Z}_p$, Euler function $\phi(n)$Abstract
An analogous study of arithmetical functions on the ring of polynomials $\mathbb{Z}_p[t]$ called Arithmetical functions like functions (AFL) like $\mu_p$, $I_p$ and $\phi_p$ are developed in this paper and some of their properties are described.
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