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Almost all entries in the character table of the symmetric group are multiples of any given prime

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arxiv 2010.12410 v2 pith:QK2VCO4E submitted 2020-10-23 math.CO math.NTmath.RT

classification math.COmath.NTmath.RT
keywords almostcharacterprimetableconjecturedivisibleentriesentry
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abstract

We show that almost every entry in the character table of $S_N$ is divisible by any fixed prime as $N\to\infty$. This proves a conjecture of Miller.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Congruences in character tables of symmetric groups

    math.CO 2019-08 accept novelty 7.0 of 10

    For partitions λ and μ of the same integer, replacing each square by d^2 squares makes the character value χ_{λ̲}(μ̲) divisible by d!.

  2. Single Frequency CMB Foreground Removal with Inter-scale Machine Learning

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    A hybrid CNN using both inter-scale and multi-frequency dust correlations achieves residual B-mode foreground power 3.62e-4 in DustFilaments simulations, about 7x lower than spatial ILC.

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