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Graduate Student Number Theory Learning Seminar

Shimura's "On the Holomorphy of Certain Dirichlet Series"

George Hauser, Rutgers

Location:  Via Zoom, email Brooke at: bl481@math.rutgers.edu for login information.
Date & time: Wednesday, 23 September 2020 at 1:30PM - 2:30PM

Abstract: As we all know, modular forms give rise to Dirichlet series with analytic continuation and functional equation. The Rankin-Selberg Method can be used to show the holomorphy of even more Dirichlet series. In this talk I want to sketch out how to get the analytic continuation of the "Rankin Selberg Square" L-function (following Rankin) and also the "Symmetric Square L-function" (following Shimura). In both cases we will see the prominence of Eisenstein series, classical and metaplectic.