92 citations · 418 across the 33 of their papers we have counts for
34 papers
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…
Conditional lower bounds on the distribution of central values in families of -functions
Maksym Radziwiłł, Kannan Soundararajan
We establish a general principle that any lower bound on the non-vanishing of central -values obtained through studying the one-level density of low-lying zeros can be refined t…
Divisibility of character values of the symmetric group by prime powers
Sarah Peluse, Kannan Soundararajan
Proving a conjecture of Miller, we show that as tends to infinity almost all entries in the character table of are divisible by any given prime power. This extends our ea…
Central limit theorems for random multiplicative functions
Kannan Soundararajan, Max Wenqiang Xu
A Steinhaus random multiplicative function is a completely multiplicative function obtained by setting its values on primes to be independent random variables distribute…
A supplement to Chebotarev's density theorem
Gergely Harcos, Kannan Soundararajan
Let be a Galois extension of number fields with Galois group . We show that if the density of prime ideals in that split totally in tends to with a power s…
The work of James Maynard
Kannan Soundararajan
We give a brief account of some of the most spectacular results established by James Maynard for which he has been awarded the Fields Medal.