Functorial Zeta Integrals
Number Theory
2014-11-04 v1
Abstract
The functional equation for nonarchimedean Rankin-Selberg local Euler factors was proved by Jacquet, Piatetski-Shapiro, and Shalika in 1983. In this expository note we translate the original proof into the purely functorial language of parabolic induction-restriction of Bernstein-Zelevinsky. This new language gives a clearer presentation of the ideas, and works over arbitrary fields with characteristic not equal to the residue characteristic.
Keywords
Cite
@article{arxiv.1411.0148,
title = {Functorial Zeta Integrals},
author = {Gilbert Moss},
journal= {arXiv preprint arXiv:1411.0148},
year = {2014}
}
Comments
Typos fixed from an earlier version posted on the author's website