A generalization of the q-Saalschutz sum and the Burge transform

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dc.creatorSchilling, A.
dc.creatorWarnaar, S. O.
dc.date1999-09-08
dc.date.accessioned2026-07-07T05:30:42Z
dc.date.available2026-07-07T05:30:42Z
dc.descriptionA generalization of the q-(Pfaff)-Saalschutz summation formula is proved. This implies a generalization of the Burge transform, resulting in an additional dimension of the ``Burge tree''. Limiting cases of our summation formula imply the (higher-level) Bailey lemma, provide a new decomposition of the q-multinomial coefficients, and can be used to prove the Lepowsky and Primc formula for the A_1^{(1)} string functions.
dc.description18 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/9909044
dc.identifierhttp://arxiv.org/abs/math/9909044
dc.identifierin: Physical Combinatorics, M. Kashiwara and T. Miwa (eds.), Birkhäuser Boston, Cambridge, MA, 2000, pp. 163-183.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79077
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject33D15; 05A30; 05A10
dc.titleA generalization of the q-Saalschutz sum and the Burge transform
dc.typetext

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