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
SN - 1446-7887
VL - 80
SP - 13
EP - 44
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 1
ER -