Zhuo Zhang

collaborators

3 papers

math.NT2025

Pattern formation Statistics on Fermat Quotients

Cristian Cobeli, Alexandru Zaharescu, Zhuo Zhang

Despite their simple definition as $q_{p} (b) := \frac{b ^{p - 1} - 1}{p} (mod p)$ , for $0 \leq b \leq p^{2} - 1$ and $g cd (b, p) = 1$ , and their regular arrangement in a $p \times (p - 1)$ Fer…

math.NT2024

A new bound on the relative error in the Chebotarev density theorem

Jesse Thorner, Zhuo Zhang

We unconditionally improve the uniformity in the Chebotarev density theorem for Galois extensions of number fields using nonabelian base change. This leads to the first theoretical…

math.NT2024

On a Special Metric in Cyclotomic Fields

Katerina Saettone, Alexandru Zaharescu, Zhuo Zhang

Let $p$ be an odd prime, and let $ω$ be a primitive $p$ th root of unity. In this paper, we introduce a metric on the cyclotomic field $K = Q (ω)$ . We prove that this metric h…