2 papers
math.NT2026
Rankin--Selberg Subconvexity via Spectral Reciprocity
Peter Humphries, Liyang Yang
We establish explicit subconvex bounds for central values of Rankin--Selberg -functions associated with pairs of unitary cuspidal automorphic representation…
math.NT2025
New variants of arithmetic quantum ergodicity
Peter Humphries, Jesse Thorner
We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual Hecke-Maass newforms over as the level and Laplace eigenvalu…