Plancherel distribution of Satake parameters of Maass cusp forms on $GL_3$
Abstract
We prove an equidistribution result for the Satake parameters of Maass cusp forms on $GL_3$ with respect to the $p$-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 $L(1,F,Ad)^{-1}$ in the Kuznetsov trace formula on $GL_3$.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2016
- DOI:
- 10.48550/arXiv.1611.01253
- arXiv:
- arXiv:1611.01253
- Bibcode:
- 2016arXiv161101253B
- Keywords:
-
- Mathematics - Number Theory;
- 11F25 (Primary);
- 11F72;
- 11F70
- E-Print:
- doi:10.1093/imrn/rny061