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Partitions into large unequal parts from a general sequence

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  09 April 2009

Kevin John Fergusson
Kevin John Fergusson
Affiliation:
17 Blackdown way, Karrinyup WA 6018, Australia, e-mail: [email protected]
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Abstract

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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 ≤ m ≤ n1−δ, as n → ∞, where δ is a given real number, such that 0 < δ < 1.

MSC classification

Secondary: 11P82: Analytic theory of partitions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 80 , Issue 1 , February 2006 , pp. 13 - 44
Copyright
Copyright © Australian Mathematical Society 2006

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