New polynomial analogues of Jacobi's triple product and Lebesgue's identities

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dc.creatorAlladi, Krishnaswami
dc.creatorBerkovich, Alexander
dc.date2002-03-11
dc.date.accessioned2026-07-07T04:46:57Z
dc.date.available2026-07-07T04:46:57Z
dc.descriptionIn a recent paper by the authors, a bounded version of Goellnitz's (big) partition theorem was established. Here we show among other things how this theorem leads to nontrivial new polynomial analogues of certain fundamental identities of Jacobi and Lebesgue. We also derive a two parameter extension of Jacobi's famous triple product identity.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0203094
dc.identifierhttp://arxiv.org/abs/math/0203094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63533
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subjectQuantum Algebra
dc.subject05A19, 05A30, 11P82, 33D15
dc.titleNew polynomial analogues of Jacobi's triple product and Lebesgue's identities
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