Multiple Dirichlet Series for B_n

Given a reduced root system Φ of rank r, we may attach a multiple Dirichlet series in r complex variables, whose group of functional equations is isomorphic to the Weyl group of Φ. These multiple Dirichlet series contain interesting arithmetic information. I will discuss joint work with Jennifer Beineke and Ben Brubaker, on the multiple Dirichlet series associated to the root systems Φ = B_r.