The tri-pentagonal number theorem and related identities

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dc.creatorBerkovich, Alexander
dc.date2008-01-20
dc.date.accessioned2026-07-07T08:55:29Z
dc.date.available2026-07-07T08:55:29Z
dc.descriptionI revisit an automated proof of Andrews' pentagonal number theorem found by Riese. I uncover a simple polynomial identity hidden behind his proof. I explain how to use this identity to prove Andrews' result along with a variety of new formulas of similar type. I reveal an interesting relation between the tri-pentagonal theorem and items (19), (20), (94), (98) on the celebrated Slater list. Finally, I establish a new infinite family of multiple series identities.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0801.3008
dc.identifierhttp://arxiv.org/abs/0801.3008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146288
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject33D15, 11B65
dc.titleThe tri-pentagonal number theorem and related identities
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