Ze Zhu

collaborators

2 papers

math.CO2025

Hexagonal Tiling of the Plane

Ze Zhu, Erxiao Wang, Min Yan

Since the thesis of K. Reinhardt in 1918, it is well known that there are exactly three types of convex hexagons that can tile the plane. However, the proof of the fact is far from…

math.NT2024

On some determinant conjectures

Ze-Hua Zhu, Chen-Kai Ren

Let $p$ be a prime and $c, d \in Z$ . Sun introduced the determinant $D_{p}^{-} (c, d) := det [(i^{2} + c ij + d j^{2})^{p - 2}]_{1 < i, j < p - 1}$ for $p > 3$ . In this paper, we confirm three conjecture…