$n$-color overpartitions, lattice paths, and multiple basic hypergeometric series

We define two classes of multiple basic hypergeometric series $V_{k,t}(a,q)$ and $W_{k,t}(a,q)$ which generalize multiple series studied by Agarwal, Andrews, and Bressoud. We show how to interpret these series as generating functions for special restricted lattice paths and for $n$-color overpartiti...

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Bibliographic Details

Published in:	Discrete Mathematics & Theoretical Computer Science
Main Author:	Olivier Mallet
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2008-01-01
Subjects:	$n$-color overpartitions lattice paths multiple series [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:	https://dmtcs.episciences.org/3643/pdf