A. Plagne

activity

20102023

most citedSums of dilates in groups of prime order

17 citations · 27 across the 12 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CO2014★ 3 cited

The Davenport constant of a box

Alain Plagne, Salvatore Tringali

Given an additively written abelian group $G$ and a set $X \subseteq G$ , we let $B (X)$ denote the monoid of zero-sum sequences over $X$ and $D (X)$ the Davenport c…

math.CO2014★ 1 cited

Sums of dilates in ordered groups

Alain Plagne, Salvatore Tringali

We address the "sums of dilates problem" by looking for non-trivial lower bounds on sumsets of the form $k \cdot X + l \cdot X$ , where $k$ and $l$ are non-zero integers and $X$ is…

math.CO2012

Maximal sets with no solution to x+y=3z

Alain Plagne, Anne de Roton

In this paper, we are interested in a generalization of the notion of sum-free sets. We address a conjecture first made in the 90s by Chung and Goldwasser. Recently, after some com…