Speaker
Maxim Gerspach, KTH, Stockholm
Abstract
In this talk I will present estimates for low moments of (extended) Rademacher random multiplicative functions over function fields. These model the behaviour of quadratic character sums over function fields on average. This should be seen as a symplectic analogue to work of Harper on low moments of character sums. I will touch upon the question of transferring these estimates to the deterministic setting, both over function fields and for quadratic Dirichlet characters on average.