Congruences on the Number of Restricted $m$-ary Partitions

Published 17 Dec 2015 in math.CO and math.NT | (1512.05601v1)

Abstract: Andrews, Brietzke, R\o dseth and Sellers proved an infinite family of congruences on the number of the restricted $m$-ary partitions when $m$ is a prime. In this note, we show that these congruences hold for arbitrary positive integer $m$ and thus confirm the conjecture of Andrews, et al.

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