Title: The Fourier Coefficients of a Minimal Parabolic Eisenstein Series on the Double Cover of GL(3) over Q
Speaker: Edmund Karasiewicz (University of California Santa Cruz)
Abstract: 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.
Seminar URL:https://research.math.osu.edu/numbertheory/number.php