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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Partitions with a restriction on the multiplicity of the summands


Author: Peter Hagis
Journal: Trans. Amer. Math. Soc. 155 (1971), 375-384
MSC: Primary 10.48
DOI: https://doi.org/10.1090/S0002-9947-1971-0272735-1
MathSciNet review: 0272735
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Abstract: Using the circle dissection method, a convergent series and several asymptotic formulae are obtained for $ p(n,t)$, the number of partitions of the positive integer $ n$ in which no part may be repeated more than $ t$ times.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0272735-1
Keywords: Partitions, restrictions on multiplicity of parts, transformation equation, convergent series representation, asymptotic formulae
Article copyright: © Copyright 1971 American Mathematical Society