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arxiv: 1709.02584 · v1 · pith:QC6UXA5Pnew · submitted 2017-09-08 · 🧮 math.CO

New congruences for broken k-diamond partitions

classification 🧮 math.CO
keywords brokendiamondpartitionscongruencesandrewsdeltadenoteestablish
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The notion of broken $k$-diamond partitions was introduced by Andrews and Paule. Let $\Delta_{k}(n)$ denote the number of broken $k$-diamond partitions of $n$ for a fixed positive integer $k$. In this paper, we establish new infinite families of broken $k$-diamond partition congruences.

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