On arithmetic partitions of Z_n

Details On arithmetic partitions of Z_n On arithmetic partitions of Z_n

2008-06-23

arxiv.org/abs/0806.3709v2

European J. Combin. 30 (2009), 1281--1288

Mathematics

Combinatorics

10 pages, 1 figure, European J. Combin. (2008), doi:10.1016/j.ejc.2008.11.009

Scientific paper

10.1016/j.ejc.2008.11.009

Generalizing a classical problem in enumerative combinatorics, Mansour and Sun counted the number of subsets of $\Z_n$ without certain separations. Chen, Wang, and Zhang then studied the problem of partitioning $\Z_n$ into arithmetical progressions of a given type under some technical conditions. In this paper, we improve on their main theorems by applying a convolution formula for cyclic multinomial coefficients due to Raney-Mohanty.

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