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    Partitions into large unequal parts from a general sequence

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    Fulltext not available
    Authors
    Fergusson, Kevin
    Date
    2006
    Type
    Journal Article
    
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    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
    ISSN
    1446-7887
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/6329
    Collection
    • Curtin Research Publications
    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 $0<\delta < 1$.

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