On sums of figurate numbers by using techniques of poset representation theory

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dc.creatorC, Agustin Moreno
dc.date2008-06-16
dc.date.accessioned2026-07-07T09:44:46Z
dc.date.available2026-07-07T09:44:46Z
dc.descriptionWe use representations and differentiation algorithms of posets, in order to obtain results concerning unsolved problems on figurate numbers. In particular, we present criteria for natural numbers which are the sum of three octahedral numbers, three polygonal numbers of positive rank or four cubes with two of them equal. Some identities of the Rogers-Ramanujan type involving this class of numbers are also obtained.
dc.description18 pages, submitted to International Journal of Number Theory
dc.identifierhttps://arxiv.org/abs/0806.2486
dc.identifierhttp://arxiv.org/abs/0806.2486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162992
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject05A17 ; 11D25 ; 11D45 ; 11D85 ; 11E25 ; 11P83
dc.titleOn sums of figurate numbers by using techniques of poset representation theory
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