I discuss the spectral and arithmetic side of the relative trace formula of Kuznetsov type for congruence subgroups of SL(n,ℤ) with applications to automorphic density theorems. A particular focus is on properties of general Kloosterman sums as well as the average size of Fourier coefficients in absence of newform theory.
This video is part of the Institute for Advanced Study‘s Number theory seminar.
