An asymptotically tight bound for the Davenport constant

Abstract

We prove that for every integer $r\ge 1$ the Davenport constant $\mathsf{D}(C_n^r)$ is asymptotic to $rn$ when $n$ tends to infinity. An extension of this theorem is also provided.

6 pages

References in corpus (1)

• On large subsets of $F_q^n$ with no three-term arithmetic progression

Cited by in corpus (8)

• On the lower bounds of Davenport constant
• On minimal product-one sequences of maximal length over Dihedral and Dicyclic groups
• On a zero-sum problem arising from factorization theory
• Higher Degree Davenport Constants over Finite Commutative Rings
• On an inverse problem of Erd\H os, Kleitman, and Lemke
• The $\{1,s\}$-weighted Davenport constant in $C_n^k$
• Factorization Theory in Commutative Monoids
• On generalized Erdős-Ginzburg-Ziv constants of $C_n^r$