4 papers
math.NT2026
The Davenport constant of low-dimensional boxes
Benjamin Girard, Alain Plagne
In this paper, we study the maximal length of a minimal zero-sum sequence over having a support of size . When , we find the exac…
math.NT2026
The Davenport constant of an interval: a proof that
Benjamin Girard, Alain Plagne
For two positive integers and , we study the Davenport constant of the interval of integers , that is the maximal length of a minimal zero-sum sequence compo…
math.CO2025
The Erdős-Ginzburg-Ziv constant of rank-two-like -groups
Benjamin Girard, Sofia Zotova
Adapting Reiher's proof of Kemnitz's conjecture, we obtain two refinements of a theorem of Schmid and Zhuang. Our main results provide improved upper bounds for the Erdős-Ginzburg-…
math.NT2025
The Davenport constant of balls and boxes
Benjamin Girard, Alain Plagne
Given an additively written abelian group and a set , we let denote the Davenport constant of , namely the largest non-negative integer for…