Arithmetic Properties of Summands of Partitions

Cécile Dartyge (1) , Andras Sarkozy (2)

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

Let $d\ge 2$ be an integer. We prove that for almost all partitions of an integer the parts are well distributed in residue classes mod d. The limitations of the uniformity of this distribution are also studied.

Mots clés: partitions; residue classes.; residue classes

Domaines: Théorie des nombres [math.NT]

Cécile Dartyge, Andras Sarkozy. Arithmetic Properties of Summands of Partitions. Ramanujan Journal, 2004, 8 fasc. 2, pp.199-215. ⟨hal-00130635⟩