Applications of the relative trace formula

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Valentin Blomer, Universit盲t Bonn

Meeting ID:听 920 2195 5230

Passcode:听 听 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.