A limiting form of the q-Dixon_4ϕ_3 summation and related partition identities

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dc.creatorAlladi, Krishnaswami
dc.creatorBerkovich, Alexander
dc.date2002-05-03
dc.date.accessioned2026-07-07T04:48:15Z
dc.date.available2026-07-07T04:48:15Z
dc.descriptionBy considering a limiting form of the q-Dixon_4ϕ_3 summation, we prove a weighted partition theorem involving odd parts differing by >= 4. A two parameter refinement of this theorem is then deduced from a quartic reformulation of Goellnitz's (Big) theorem due to Alladi, and this leads to a two parameter extension of Jacobi's triple product identity for theta functions. Finally, refinements of certain modular identities of Alladi connected to the Goellnitz-Gordon series are shown to follow from a limiting form of the q-Dixon_4ϕ_3 summation.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0205031
dc.identifierhttp://arxiv.org/abs/math/0205031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63972
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subjectQuantum Algebra
dc.subject05A17, 05A19, 11P83, 11P81, 33D15, 33D20
dc.titleA limiting form of the q-Dixon_4ϕ_3 summation and related partition identities
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