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On even entries in the character table of the symmetric group
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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.
Forward citations
Cited by 2 Pith papers
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Dimensions of compositions modulo a prime
The paper gives formulas for the number of compositions of n whose ribbon number is congruent to i modulo p, including explicit cases n=mp^d and sums of distinct powers of p, with extensions to Coxeter groups of types...
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Congruences in character tables of symmetric groups
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!.
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