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arXiv · 2007.06652

On even entries in the character table of the symmetric group

Sarah Peluse
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Abstract

We show that almost every entry in the character table of $S_n$ is even as $n\to\infty$. This resolves a conjecture of Miller. We similarly prove that almost every entry in the character table of $S_n$ is zero modulo $3,5,7,11,$ and $13$ as $n\to\infty$, partially addressing another conjecture of Miller.

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Sarah Peluse. 2020-07-26. On even entries in the character table of the symmetric group. https://arxiv.org/abs/2007.06652

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