Partitions into large unequal parts from a general sequence

Kevin John Fergusson

doi:10.1017/S1446788700011368

Partitions into large unequal parts from a general sequence

Kevin John Fergusson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer-review

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

Original language	English
Pages (from-to)	13-44
Number of pages	32
Journal	Journal of the Australian Mathematical Society
Volume	80
Issue number	1
DOIs	https://doi.org/10.1017/S1446788700011368
Publication status	Published - Feb 2006
Externally published	Yes

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title = "Partitions into large unequal parts from a general sequence",

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

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AB - 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 ≤ n 1-δ, as n → ∞, where δ is a given real number, such that 0 < δ < 1.

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DO - 10.1017/S1446788700011368

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JO - Journal of the Australian Mathematical Society

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Partitions into large unequal parts from a general sequence

Abstract

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