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math.NT2023
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…
math.CO2023★ 1 cited
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…