Generating function for K-restricted jagged partitions

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dc.creatorFortin, J. -F.
dc.creatorJacob, P.
dc.creatorMathieu, P.
dc.date2003-05-26
dc.date2004-06-07
dc.date.accessioned2026-07-07T06:27:25Z
dc.date.available2026-07-07T06:27:25Z
dc.descriptionWe present a natural extension of Andrews' multiple sums counting partitions with difference 2 at distance $k-1$, by deriving the generating function for $K$-restricted jagged partitions. A jagged partition is a collection of non-negative integers $(n_1,n_2,..., n_m)$ with $n_m\geq 1$ subject to the weakly decreasing conditions $n_i\geq n_{i+1}-1$ and $n_i\geq n_{i+2}$. The $K$-restriction refers to the following additional conditions: $n_i \geq n_{i+K-1} +1$ or $ n_i = n_{i+1}-1 = n_{i+K-2}+1= n_{i+K-1}$. The corresponding generalization of the Rogers-Ramunjan identities is displayed, together with a novel combinatorial interpretation.
dc.descriptionlatex, 13 pages; minor modifications and one more section (6) added
dc.identifierhttps://arxiv.org/abs/math-ph/0305055
dc.identifierhttp://arxiv.org/abs/math-ph/0305055
dc.identifierElectronic J. Comb. 12 (2005) No 1 R12 (17p.)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97410
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleGenerating function for K-restricted jagged partitions
dc.typetext

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