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arXiv · 2508.19103

Generalizations of Euler's $\varphi$-function with respect to systems of polynomials of several variables

Norbert Csizmazia·László Tóth
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Abstract

We introduce a new generalization of Euler's $\varphi$-function associated with a system of polynomials of several variables. We reprove by a short direct approach certain known related identities, and study some other special cases that do not appear in the literature. We also discuss the unitary analogues of these functions.

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Norbert Csizmazia, László Tóth. 2025-08-26. Generalizations of Euler's $\varphi$-function with respect to systems of polynomials of several variables. https://doi.org/10.1007/s44426-026-00060-0

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