Corpus ID: 204851917

Sato-Tate Equidistribution for Families of Automorphic Representations through the Stable Trace Formula

  title={Sato-Tate Equidistribution for Families of Automorphic Representations through the Stable Trace Formula},
  author={Rahul Dalal},
  journal={arXiv: Number Theory},
  • Rahul Dalal
  • Published 2019
  • Mathematics
  • arXiv: Number Theory
In arXiv:1208.1945, Shin and Templier proved certain equidistribution bounds on local components of certain families of automorphic representations. We extend their weight-aspect results to families of automorphic representations where the Archimedean component is restricted to a single discrete-series representation instead of an entire $L$-packet. We do this by using a so-called "hyperendoscopy" version of the stable trace formula developed by Ferrari. The main technical difficulties are… Expand
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