Zeros in the character table of the symmetric group
Sarah Peluse, Kannan Soundararajan

TL;DR
This paper proves a conjecture about the nature of zeros in the character table of the symmetric group, building on computational observations and addressing related questions in algebraic combinatorics.
Contribution
It resolves a conjecture about the special type of zeros in the symmetric group's character table and addresses a related question posed by Stanley.
Findings
Confirmed that most zeros are of a specific special type.
Resolved a conjecture regarding zeros in the character table.
Addressed a related open question by Stanley.
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.
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