Bounds on shifted convolution sums

Date: 2021-03-24

Time: 18:15 - 19:15

Speaker
Morten Risager, University of Copenhagen

Abstract
Shifted convolution sums for automorphic forms have been studied for about 100 years. Famous instances include sum in the additive divisor problem and in the hyperbolic lattice point problem. We discuss various bounds and some thoughts on how to improve them. We also discuss various average bounds.