## Partitions into large unequal parts from a general sequence

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##### Authors

Fergusson, Kevin

##### Date

2006##### Type

Journal Article

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Show full item record##### Abstract

An asymptotic estimate is obtained for the number of partitions of the positive integer n into unequal parts coming from a sequence u, with each part greater than m, under suitable conditions on the sequence u. The estimate holds uniformly with respect to integers m such that $0\le m \le n^{1-\delta }$, as $n\to\infty $, where $\delta $ is a given real number, such that $0<\delta < 1$.

##### Citation

Fergusson, K. 2006. Partitions into large unequal parts from a general sequence. Journal of the Australian Mathematical Society. 80 (1): pp. 13-44.

##### Source Title

Journal of the Australian Mathematical Society

##### Department

Department of Mathematics and Statistics