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Arithmetic Properties of Summands of Partitions
Authors:Dartyge  Cécile  Sárközy  András
Institution:(1) Henri Poincaré-Nancy 1, Institut Élie Cartan, Université, BP 239, 54506 Vandoeliguvre Cedex, France;(2) Department of Algebra and Number Theory, Eötvös Loránd University, H-1518 Budapest, Pf. 120, 1117, Budapest, Pázmány Péter Sétány 1/C, Hungary
Abstract:Let d isin disinNopf, dge2 ge 2. 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.
Keywords:partitions  residue classes
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