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A General Asymptotic Result for Partitions

Published online by Cambridge University Press:  20 November 2018

Bruce Richmond
Bruce Richmond*
Affiliation:
University of Manitoba, Winnipeg, Canada
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In this paper we are concerned with partition functions pϒ(n) that have generating functions of the form

where γ(n) ≧ 0. We shall obtain an asymptotic relation for pϒ(n) under suitable restrictions on ϒ (see Theorem 1.1). These restrictions are weaker than those of Brigham [2] who considered this problem previously.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 1083 - 1091
Copyright
Copyright © Canadian Mathematical Society 1975

References

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