17 citations · 27 across the 12 of their papers we have counts for
9 papers · 1 filter
A numerical note on upper bounds for b 2 [g] sets
Laurent Habsieger, Alain Plagne
Sidon sets are those sets such that the sums of two of its elements never coincide. They go back to the 30s when Sidon asked for the maximal size of a subset of consecutive integer…
Additive bases in groups
Victor Lambert, Thái Hoàng Lê, Alain Plagne
In this paper, we study the problem of removing an element from an additive basis in a general abelian group. We introduce analogues of the classical functions , and (de…
Small doubling in ordered groups: generators and structure
Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi +3
We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freim…
Additive properties of sequences of pseudo s-th powers
Javier Cilleruelo, Jean-Marc Deshouillers, Victor Lambert +1
In this paper, we study (random) sequences of pseudo s-th powers, as introduced by Erdös and Rényi in 1960. In 1975, Goguel proved that such a sequence is almost surely not an asym…
Large restricted sumsets in general abelian group
Yahya ould Hamidoune, Susana C. Lopez, Alain Plagne
Let A, B and S be three subsets of a finite Abelian group G. The restricted sumset of A and B with respect to S is defined as A\wedge^{S} B= {a+b: a in A, b in B and a-b not in S}.…
Some remarks on barycentric-sum problems over cyclic groups
Oscar Ordaz, Alain Plagne, Wolfgang A. Schmid
We derive some new results on the k-th barycentric Olson constants of abelian groups (mainly cyclic). This quantity, for a finite abelian (additive) group (G,+), is defined as the…