The distribution of the number of parts of $m$-ary partitions modulo $m$
| Autor: | Edgar, Tom |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We investigate the number of parts modulo $m$ of $m$-ary partitions of a positive integer $n$. We prove that the number of parts is equidistributed modulo $m$ on a special subset of $m$-ary partitions. As consequences, we explain when the number of parts is equidistributed modulo $m$ on the entire set of partitions, and we provide an alternate proof of a recent result of Andrews, Fraenkel, and Sellers about the number of $m$-ary partitions modulo $m$. Comment: 10 pages, 1 figure, To appear in Rocky Mountain Journal of Mathematics |
| Databáze: | arXiv |
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