J. Aust. Math. Soc.
80 (2006), 1344

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
, as
, where
is a given real number, such that
.

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