Andras Sarkozy

Affiliation: Eotvos Lorand University, Budapest

Email: sarkozy@cs.elte.hu

Title Of Talk: On arithmetic properties of summands of partitions

Abstract: In 1941 Erdos and Lehner published a paper on the distribution of the size and number of summands of partitions. Since that numerous papers have been written on statistical properties of partitions. Recently C. Dartyge and I have written 2, C. Dartyge, M. Szalay and I 3 joint papers on arithmetic properties of summands of (both unrestricted and unequal) partitions. We studied the distribution of the summands in residue classes; the proportion of the squarefree parts; the distribution of the number of prime factors of the summands, etc. In my talk I'll give a survey of these 5 papers.


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