JP Journal of Algebra, Number Theory and Applications
Volume 30, Issue 2, Pages 131 - 150
(September 2013)
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ON A PROBLEM OF G. E. ANDREWS CONCERNING PARTITIONS
AgustÃn Moreno Cañadas, Pedro Fernando Fernandez Espinosa and Veronica Cifuentes Vargas
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Abstract: Via linear extensions of posets, P-partitions, and some higher dimensional compositions defined previously by the first author et al., we obtain solutions to a generalization of a problem on partitions proposed by G. E. Andrews in 1987. Furthermore, it is given a bijective correspondence between higher dimensional compositions whose parts are polygonal numbers and compositions whose parts are cubic numbers. |
Keywords and phrases: composition, higher dimensional composition, higher dimensional partition, lattice path, linear extension, P-partition, poset. |
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