H. Zhu

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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.NT2024

Asymptotic Variation of Elementary Abelian p-Extensions over $P^{1}$

Hui June Zhu

Let A^d denote the coefficient space of all degree-d polynomials f in one variable for some d\ge 3. For any \bar{f} in A^d(\bar\F_p), a rank-\ell Artin-Schreier curve X_{\bar{f},\e…

The number of primes not in a numerical semigroup

Primes of the form ax+by

Asymptotic Variation of Elementary Abelian p-Extensions over P1

Primes of the form $a x + b y$

Asymptotic Variation of Elementary Abelian p-Extensions over $P^{1}$