Applications of the relative trace formula

Valentin Blomer, Universität Bonn
IAS - Simonyi Hall Seminar Room SH-101

Meeting ID:  920 2195 5230

Passcode:    The three-digit integer that is the cube of the sum of its digits.

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.