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arXiv · 1510.07226

Formulas for Partition $k$-Tuples with $t$-Cores

Shane Chern
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Abstract

Let $A_{t,k}(n)$ denote the number of partition $k$-tuples of $n$ where each partition is $t$-core. In this paper, we establish formulas of $A_{t,k}(n)$ for some values of $t$ and $k$ by employing the method of modular forms, which extends Wang's result for $t=3$ and $k=2,3$.

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Shane Chern. 2016-02-04. Formulas for Partition $k$-Tuples with $t$-Cores. https://doi.org/10.1016/j.jmaa.2016.01.040

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