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arXiv · 2401.17727

On Euler's totient function of polynomials over finite fields

Xiumei Li·Min Sha
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Abstract

In this paper, we study some typical arithmetic properties of Euler's totient function of polynomials over finite fields. Especially, we study polynomial analogues of some classical conjectures about Euler's totient function, such as Carmichael's conjecture, Sierpi\'{n}ski's conjecture, and Erd\"{o}s' conjecture.

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Xiumei Li, Min Sha. 2024-01-31. On Euler's totient function of polynomials over finite fields. https://arxiv.org/abs/2401.17727

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