Zeros in the character table of the symmetric group
Combinatorics
2026-03-31 v1 Number Theory
Representation Theory
Abstract
Computations of Miller and Scheinerman suggest that the vast majority of the zeros appearing in the character table of the symmetric group are of a certain special type. While we cannot prove this, we resolve a conjecture arising in their paper concerning these zeros, and address a related question of Stanley.
Keywords
Cite
@article{arxiv.2603.28510,
title = {Zeros in the character table of the symmetric group},
author = {Sarah Peluse and Kannan Soundararajan},
journal= {arXiv preprint arXiv:2603.28510},
year = {2026}
}
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12 pages