32 citations · 177 across the 24 of their papers we have counts for
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math.NT2017★ 21 cited
Equidistribution in Shrinking Sets and L^4-Norm Bounds for Automorphic Forms
Peter Humphries
We study two closely related problems stemming from the random wave conjecture for Maass forms. The first problem is bounding the -norm of a Maass form in the large eigenvalue…
math.NT2017★ 3 cited
Biases in prime factorizations and Liouville functions for arithmetic progressions
Peter Humphries, Snehal M. Shekatkar, Tian An Wong
We introduce a refinement of the classical Liouville function to primes in arithmetic progressions. Using this, we discover new biases in the appearances of primes in a given arith…
math.NT2017★ 32 cited
Standard Zero-Free Regions for Rankin--Selberg L-Functions via Sieve Theory
Peter Humphries
We give a simple proof of a standard zero-free region in the -aspect for the Rankin--Selberg -function for any unitary cuspidal automorphic represe…