On the distribution of the summands of unequal 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 unequal partitions of $n$ are well-distributed modulo $d$ for $d=o(n^{1/2})$.

Mots clés: unequal partitions; residue classes

Domaines: Théorie des nombres [math.NT]

Cécile Dartyge, Andras Sarkozy, Mihaly Szalay. On the distribution of the summands of unequal partitions in residue classes. Acta Mathematica Hungarica, 2006, 110 (4), pp.323-335. ⟨10.1007/s10474-006-0027-7⟩. ⟨hal-00091852⟩