On the distribution of the summands of partitions in residue classes

Cécile Dartyge (1) , Andras Sarkozy (2) , Mihaly Szalay (2)

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

It is proved that the summands of almost all partitions of $n$ are well-distributed modulo $d$ for $d$ up to $d=n^{1/2-\varepsilon}$

Mots clés: partitions; residue classes

Domaines: Théorie des nombres [math.NT]

Cécile Dartyge, Andras Sarkozy, Mihaly Szalay. On the distribution of the summands of partitions in residue classes. Acta Mathematica Hungarica, 2005, 109 (3), pp.215-237. ⟨10.1007/s10474-005-0242-7⟩. ⟨hal-00091859⟩