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arXiv · 1506.05354

Ranks For Two Partition Quadruple Functions

Chris Jennings-Shaffer
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Abstract

Recently the author introduced two new integer partition quadruple functions, which satisfy Ramanujan-type congruences modulo $3$, $5$, $7$, and $13$. Here we reprove the congruences modulo $3$, $5$, and $7$ by defining a rank-type statistic that gives a combinatorial refinement of the congruences.

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Chris Jennings-Shaffer. 2016-02-29. Ranks For Two Partition Quadruple Functions. https://arxiv.org/abs/1506.05354

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