V. Lambert

collaborators

3 papers

math.NT2015

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 $X$ , $S$ and $E$ (de…

math.NT2014

On modular k-free sets

Victor Lambert

Let $n$ and $k$ be integers. A set $A \subset Z / n Z$ is $k$ -free if for all $x$ in $A$ , $k x \in / A$ . We determine the maximal cardinality of such a set when $k$ and…

math.NT2014

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…