Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902983 | Discrete Mathematics | 2018 | 5 Pages |
Abstract
In a pair of recent papers, Andrews, Fraenkel and Sellers provide a complete characterization for the number of m-ary partitions modulo m, with and without gaps. In this paper we extend these results to the case of coloured m-ary partitions, with and without gaps. Our method of proof is different, giving explicit expansions for the generating functions modulo m.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
I.P. Goulden, Pavel Shuldiner,