3 papers
math.CO2026
Zeros in the character table of the symmetric group
Sarah Peluse, Kannan Soundararajan
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 c…
math.NT2025
Finding arithmetic progressions in dense sets of integers
Sarah Peluse
One of the central problems in additive combinatorics is to determine how large a subset of the first integers can be before it is forced to contain elements forming an ari…
math.NT2025
On integer distance sets
Rachel Greenfeld, Marina Iliopoulou, Sarah Peluse
We develop a new approach to address some classical questions concerning the size and structure of integer distance sets. Our main result is that any integer distance set in the Eu…