An overpartition analogue of partitions with bounded differences between largest and smallest parts

We study the generating function for overpartitions with bounded differences between largest and smallest parts, which is analogous to a result of Breuer and Kronholm on integer partitions. We also connect this problem with over q-binomial coefficients introduced by Dousse and Kim.

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Bibliographic Details
Published in:Discrete mathematics 2017-12, Vol.340 (12), p.2834-2839
Main Author: Chern, Shane
Format: Article
Language:English
Subjects:
Bounded difference between largest and smallest parts
Over [formula omitted]-binomial coefficient
Overpartition
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Description
Summary:We study the generating function for overpartitions with bounded differences between largest and smallest parts, which is analogous to a result of Breuer and Kronholm on integer partitions. We also connect this problem with over q-binomial coefficients introduced by Dousse and Kim.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2017.08.003