The Fourier Coefficients of a Minimal Parabolic Eisenstein Series on the Double Cover of GL(3) over Q.

Tuesday, January 30, 2018 - 12:00
427 Thackeray Hall
Speaker Information
Edmund Karasiewicz
University of California, Santa Cruz

Abstract or Additional Information

Eisenstein series are special types of automorphic forms that have proved useful in the study of L-functions. For example, Shimura considered a Rankin-Selberg construction using an Eisenstein series on the double cover of SL(2) to study the symmetric square L-function of a modular form. We will discuss the Fourier coefficients of the titular Eisenstein series and describe some potential applications to the Archimedean theory of GL(3) symmetric square L-functions and the study of moments of quadratic Dirichlet L-functions.