Huilin Zhu

collaborators

2 papers

math.NT2019

Separating singular moduli and the primitive element problem

Yuri Bilu, Bernadette Faye, Huilin Zhu

We prove that $∣ x - y ∣ \geq 800 X^{- 4}$ , where $x$ and $y$ are distinct singular moduli of discriminants not exceeding $X$ . We apply this result to the "primitive element problem" for t…

math.NT2016

On the reducibility of some special quadrinomials

Yong Zhang, Huilin Zhu

Let $n > m > k$ be positive integers and let $a, b, c$ be nonzero rational numbers. We consider the reducibility of some special quadrinomials $x^{n} + a x^{m} + b x^{k} + c$ with $n = 4$ and 5, which r…