Congruences for the number of partitions and bipartitions with distinct even parts

Haobo Dai

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arXiv · 1404.5404

Congruences for the number of partitions and bipartitions with distinct even parts

Haobo Dai

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Abstract

Let $ped(n)$ denote the number of partitions of $n$ wherein even parts are distinct (and odd parts are unrestricted). We show infinite families of congruences for $ped(n)$ modulo $8$. We also examine the behavior of $ped_{-2}(n)$ modulo $8$ in detail where $ped_{-2}(n)$ denotes the number of bipartitions of $n$ with even parts distinct. As a result, we find infinite families of congruences for $ped_{2}(n)$ modulo $8$.

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BibTeX RIS

Haobo Dai. 2014-04-22. Congruences for the number of partitions and bipartitions with distinct even parts. https://arxiv.org/abs/1404.5404

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