H. Zhu

collaborators

3 papers

math.NT2025

The number of primes not in a numerical semigroup

Yong-Gao Chen, Hui Zhu

For two coprime positive integers $a$ and $b$ ,let $π^{*} (a, b)$ be the number of primes that cannot be represented as $a u + b v$ , where $u$ and $v$ are nonnegative integers. It is clea…

math.NT2025

Primes of the form $a x + b y$

Yong-Gao Chen, Hui Zhu

For two coprime positive integers $a, b$ , let $T (a, b) = {a x + b y : x, y \in Z_{\geq 0}}$ and let $s (a, b) = ab - a - b$ . It is well known that all integers which are greater than $s…

math.AG2024

Construction of Curves with a Controlled First Slope using p-Symmetric Numbers

Robert Moore, Hui June Zhu

This paper establishes a constructive link between the first slope of Artin-Schreier curves X_f: y^p-y=f(x) and the p-adic weight of the support of f(x). If the maximal p-adic weig…

The number of primes not in a numerical semigroup

Primes of the form ax+by

Construction of Curves with a Controlled First Slope using p-Symmetric Numbers

Primes of the form $a x + b y$