Subscribe to Events

Abstract: Recent work of Sawin gives a very general construction of multiple Dirichlet series over function fields satisfying a set of geometric axioms. This construction should encompass all Weyl group multiple Dirichlet series, as well the multiple Dirichlet series associated to higher moments of L-functions and Kac-Moody root systems. The analytic properties of Sawin's multiple Dirichlet series are not yet fully understood. In this talk, I will describe the groups of functional equations satisfied by these series, some proven and some still conjectural. This is joint work in progress with Sawin.