J Austral Math Soc Ser A 57 pp386--416, 1994.

Partitions into Distinct Large Parts

Gregory A. Freiman and Jane Pitman

(Received 15 June 1992)

Abstract

An asymptotic estimate is obtained for the number of partitions of the positive integer n into distinct parts, each of which is at least m. The estimate holds uniformly with respect to positive m such that m = o(n(log n)-9), as n ® ¥.

1991 AMS Subject Classification: 11P68, 11P72

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Authors

Gregory A. Freiman
School of Mathematical Sciences, Raymond and Beverly Sacler Facualty of Exact Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel.
Jane Pitman
Department of Pure Mathematics, University of Adelaide, S.A. 5005, Australia.

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