A four parameter generalization of Gollnitz's (BIG) partition theorem

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dc.creatorAlladi, Krishnaswami
dc.creatorAndrews, George E.
dc.creatorBerkovich, Alexander
dc.date2000-05-16
dc.date.accessioned2026-07-07T04:35:17Z
dc.date.available2026-07-07T04:35:17Z
dc.descriptionWe announce a new four parameter partition theorem from which the (big) theorem of Gollnitz follows by setting any one of the parameters equal to 0. This settles a problem of Andrews who asked whether there exists a result that goes beyond the partition theorem of Gollnitz. We state a four parameter q-series identity (key identity) which is the generating function form of this theorem. In a subsequent paper, the proof of the new four parameter key identity will be given.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0005157
dc.identifierhttp://arxiv.org/abs/math/0005157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59205
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subjectQuantum Algebra
dc.subject05A15; 05A19; 11P81; 11P83
dc.titleA four parameter generalization of Gollnitz's (BIG) partition theorem
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