On arithmetic partitions of Zn
Abstract
Generalizing a classical problem in enumerative combinatorics, Mansour and Sun counted the number of subsets of n without certain separations. Chen, Wang, and Zhang then studied the problem of partitioning 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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