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arXiv · 2501.10399

Simultaneous Primitive Roots over Finite Rings

N. A. Carella
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Abstract

This note investigates the average density of prime numbers $p\in[x,2x]$ with respect to a random simultaneous primitive root $g\leq p^{1/2+\varepsilon}$ over the finite rings $\mathbb{Z}/p\mathbb{Z}$ and $\mathbb{Z}/p^2\mathbb{Z}$ as $x \to \infty$.

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N. A. Carella. 2025-01-02. Simultaneous Primitive Roots over Finite Rings. https://arxiv.org/abs/2501.10399

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