On Euler's totient function of polynomials over finite fields
Number Theory
2025-05-22 v2
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.
Cite
@article{arxiv.2401.17727,
title = {On Euler's totient function of polynomials over finite fields},
author = {Xiumei Li and Min Sha},
journal= {arXiv preprint arXiv:2401.17727},
year = {2025}
}
Comments
19 pages