Partitions with a restriction on the multiplicity of the summands

Hagis, Peter

doi:10.1090/S0002-9947-1971-0272735-1

Partitions with a restriction on the multiplicity of the summands
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by Peter Hagis

Trans. Amer. Math. Soc. 155 (1971), 375-384

DOI: https://doi.org/10.1090/S0002-9947-1971-0272735-1

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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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