TY - JOUR

T1 - Partitions into large unequal parts from a general sequence

AU - Fergusson, Kevin John

N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2006/2

Y1 - 2006/2

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33645825678&partnerID=8YFLogxK

U2 - 10.1017/S1446788700011368

DO - 10.1017/S1446788700011368

M3 - Article

AN - SCOPUS:33645825678

VL - 80

SP - 13

EP - 44

JO - Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics

JF - Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics

SN - 1446-7887

IS - 1

ER -