Gamma factors for the Asai cube representation
Number Theory
2020-06-11 v1
Abstract
We prove an equality between the gamma factors for the Asai cube representation of defined by the WeilDeligne representations and the local zeta integrals of Ikeda and Piatetski-ShapiroRallis, where is an \'etale cubic algebra over a local field of characteristic zero. As an application we obtain the analytic properties of the automorphic -functions for the Asai cube representation.
Keywords
Cite
@article{arxiv.1904.07844,
title = {Gamma factors for the Asai cube representation},
author = {Shih-Yu Chen},
journal= {arXiv preprint arXiv:1904.07844},
year = {2020}
}