62 citations · 473 across the 47 of their papers we have counts for
56 papers
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 is divisible by any fixed prime as . This proves a conjecture of Miller.
Bertrand's postulate and the existence of finite fields
K. Soundararajan
This is an expository note discussing how the Erdos--Ramanujan proof of Bertrand's postulate may be adapted to show the existence of finite fields.
Large Fourier coefficients of half-integer weight modular forms
S. Gun, W. Kohnen, K. Soundararajan
This article is concerned with the Fourier coefficients of cusp forms (not necessarily eigenforms) of half-integer weight lying in the plus space. We give a soft proof that there a…
Equidistribution from the Chinese Remainder Theorem
Emmanuel Kowalski, Kannan Soundararajan
We prove the equidistribution of subsets of $(\Rr/\Zz)^n$ defined by fractional parts of subsets of~$(\Zz/q\Zz)^n$ that are constructed using the Chinese Remainder Theorem.
Common divisors of totients of polynomial sequences
J. Brüdern, K. Soundararajan
Motivated by a question of Venkataramana, we consider the greatest common divisor of where is a primitive polynomial with integer coefficients, and ranges over al…
The structure of multiplicative functions with small partial sums
Dimitris Koukoulopoulos, K. Soundararajan
The Landau-Selberg-Delange method provides an asymptotic formula for the partial sums of a multiplicative function whose average value on primes is a fixed complex number . The…