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Number Theory Seminar

Functional Equations for Axiomatic Multiple Dirichlet Series

Ian Whitehead (Swarthmore College)

Location:  Hill 525
Date & time: Tuesday, 10 October 2023 at 2:00PM - 3:00PM

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.

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