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

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

2008-06-16

arxiv.org/abs/0806.2486v1

Mathematics

Number Theory

18 pages, submitted to International Journal of Number Theory

Scientific paper

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.

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