Arithmetic properties of summands of partitions II

Cécile Dartyge (1) , Andras Sarkozy (2)

1 IECN - Institut Élie Cartan de Nancy
2 Alfred Renyi Mathematical Institute

Let $d\ge 2$ be a fixed integer. We prove that a positive proportion of partitions of an integer $n$ satisfies the following : for all $1\le a

Mots clés: partitions; residue classes

Domaines: Théorie des nombres [math.NT]

Cécile Dartyge, Andras Sarkozy. Arithmetic properties of summands of partitions II. Ramanujan Journal (The), 2005, 10, pp.383-394. ⟨hal-00091844⟩