2014/11/01 by Gilbert Moss, Moss, Gilbert
Mathematics · #11F33 #11S40 #22E50 #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11F33 #msc:11S40 #msc:22E50
paper · pdf · doi:10.48550/arxiv.1411.0148
Typos fixed from an earlier version posted on the author's website
arxiv created 2014/11/01 · openalex publication_date 2014/11/01 · arxiv updated 2014/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.