On the Distribution of Satake Parameters for Siegel Modular Forms
Andrew KnightlyDepartment of Mathematics and Statistics, University of Maine, Orono, ME 04469-5752, USA
Charles LiDepartment of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
We prove a harmonically weighted equidistribution result for the -th Satake parameters of the family of automorphic cuspidal representations of of fixed weight and prime-to- level . The main tool is a new asymptotic Petersson formula for in the level aspect.
Cite this article
Andrew Knightly, Charles Li, On the Distribution of Satake Parameters for Siegel Modular Forms. Doc. Math. 24 (2019), pp. 677–747DOI 10.4171/DM/692