Author

Dong-Chun Han

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Preprint Oct 2026

Davenport Constants of Finite Abelian Groups

A central problem in zero-sum theory is to determine the Davenport constant of a finite abelian group. For a finite abelian group $G\cong C_{n_1}\oplus\cdots\oplus C_{n_r}$, with $1<n_1\mid\cdots\mid n_r$, let $\mathsf D(G)$ be the least integer $t$ such that every sequence of $t$ elements of $G$ contains a nonempty ze...

Dong-Chun Han, Han-Bin Zhang · 2 citations

Preprint Oct 2026

When Do Restricted Sumsets Cover a Finite Abelian Group?

For a subset $A$ of a finite abelian group $G$, let $\Sigma_k(A)$ denote the set of sums of $k$ distinct elements of $A$, and let $\Sigma(A)=\bigcup_{k\ge1}\Sigma_k(A)$. The problem of determining when $\Sigma(A)=G$ goes back to Erd\H{o}s and Heilbronn. Nguyen and Vu later formulated the corresponding fixed-length ques...

Dong-Chun Han, Yuan-Hong Ren · 1 citation