English

Plancherel distribution of Satake parameters of Maass cusp forms on $GL_3$

Number Theory 2018-07-10 v1

Abstract

We prove an equidistribution result for the Satake parameters of Maass cusp forms on GL3GL_3 with respect to the pp-adic Plancherel measure by using an application of the Kuznetsov trace formula. The techniques developed in this paper deal with the removal of arithmetic weight L(1,F,Ad)1L(1,F,Ad)^{-1} in the Kuznetsov trace formula on GL3GL_3.

Keywords

Cite

@article{arxiv.1611.01253,
  title  = {Plancherel distribution of Satake parameters of Maass cusp forms on $GL_3$},
  author = {Jack Buttcane and Fan Zhou},
  journal= {arXiv preprint arXiv:1611.01253},
  year   = {2018}
}