Shiwen Zhang

activity

20232026

collaborators

4 papers

math.CO2026

Generalized Erdős--Ginzburg--Ziv Constants for finite abelian groups of rank three

Hanbin Zhang, Shiwen Zhang

Let $G$ be a finite abelian group with exponent $exp (G)$ . For positive integer $k$ , the generalized Erdős--Ginzburg--Ziv constant, denoted by $s_{k e x p (G)} (G)$ is the leas…

math.CO2026

On zero-sum polytopes: reciprocity, rigidity, and cyclic sieving

Dongchun Han, Xuan Wang, Hanbin Zhang +1

Let $G$ be a finite abelian group of order $n$ , and let $M (G, m)$ denote the set of zero-sum sequences over $G$ of length $m$ . We introduce the zero-sum polytope $\mathcal P…

math.CO2024

Cyclic sieving on noncrossing (1,2)-configurations

Chuyi Zeng, Shiwen Zhang

Verifying a suspicion of Propp and Reiner concerning the cyclic sieving phenomenon (CSP), M. Thiel introduced a Catalan object called noncrossing $(1, 2)$ -configurations (denoted by…

math.CO2023

On some zero-sum invariants for abelian groups of rank three

Shiwen Zhang

Let $G$ be an additive finite abelian group with exponent $exp (G)$ . For $L \subseteq N$ , let $s_{L} (G)$ be the smallest integer $ℓ$ such that every sequence $S$ …