Departmental Colloquium
Dorian Goldfeld
Columbia University
Multiple Dirichlet Series
Abstract: A Dirichlet series is an infinite series of type a(1) + a
(2)2^{-s} + a(3) 3^{-s} + ... where s is a complex variable.
Examples include the Riemann zeta function. A multiple Dirichlet
series (MDS) is a Dirichlet series in a variable s whose
coefficients a(1), a(2), ... are Dirichlet series in another
variable, etc. MDS may be viewed as Dirichlet series in several
complex variables. We survey what is known about MDS and explain
connections of MDS with the theory of classical Lie groups.
Friday November 30, 2007 at 3:00 PM in SEO 636