Functorial Zeta Integrals

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.

arXiv commentTypos fixed from an earlier version posted on the author's website

References in corpus (1)

• Whittaker models and the integral Bernstein center for GL_n

Cited by in corpus (1)

• Rankin-Selberg local factors modulo $\ell$