A double bounded key identity for Goellnitz's (big) partition theorem

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dc.creatorAlladi, K.
dc.creatorBerkovich, A.
dc.date2000-07-01
dc.date2000-09-22
dc.date.accessioned2026-07-07T04:36:11Z
dc.date.available2026-07-07T04:36:11Z
dc.descriptionGiven integers i,j,k,L,M, we establish a new double bounded q-series identity from which the three parameter (i,j,k) key identity of Alladi-Andrews-Gordon for Goellnitz's (big) theorem follows if L, M tend to infinity. When L = M, the identity yields a strong refinement of Goellnitz's theorem with a bound on the parts given by L. This is the first time a bounded version of Goellnitz's (big) theorem has been proved. This leads to new bounded versions of Jacobi's triple product identity for theta functions and other fundamental identities.
dc.description17 pages, to appear in Proceedings of Gainesville 1999 Conference on Symbolic Computations
dc.identifierhttps://arxiv.org/abs/math/0007001
dc.identifierhttp://arxiv.org/abs/math/0007001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59510
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subjectQuantum Algebra
dc.subject05a15, 05a19, 11p81, 11p82, 11p83
dc.titleA double bounded key identity for Goellnitz's (big) partition theorem
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