Sarah Peluse

activity

20122026

most citedOn the polynomial Szemerédi theorem in finite fields

26 citations · 74 across the 21 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.CO2020

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

Sarah Peluse, Kannan Soundararajan

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.

math.CO2020★ 2 cited

On even entries in the character table of the symmetric group

Sarah Peluse

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 cha…

math.NT2020

An asymptotic version of the prime power conjecture for perfect difference sets

Sarah Peluse

We show that the number of positive integers $n \leq N$ such that $Z / (n^{2} + n + 1) Z$ contains a perfect difference set is asymptotically $N / lo g N$ .

math.NT2020

A polylogarithmic bound in the nonlinear Roth theorem

Sarah Peluse, Sean Prendiville

We show that sets of integers lacking the configuration $x$ , $x + y$ , $x + y^{2}$ have at most polylogarithmic density.