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Author C., Agustin Moreno
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-15
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Number Theory ♦ Mathematics - Representation Theory ♦ 05A17 ♦ 11D25 ♦ 11D45 ♦ 11D85 ♦ 11P83 ♦ math
Abstract We 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.
Educational Use Research
Learning Resource Type Article
Page Count 18


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