On the nonnegativity of $L(\frac{1}{2},\pi)$ for ${\rm SO}_{2n+1}$

Pages 891-917 from Volume 157 (2003), Issue 3 by Erez Lapid, Stephen Rallis

Abstract

Let $\pi$ be a cuspidal generic representation of ${\rm SO}(2n+1,\mathbb{A})$. We prove that $L(\frac12,\pi)\ge0$.

Mathematical Subject Classification

Primary 2000: ,

DOI
https://doi.org/10.4007/annals.2003.157.891
MR
1983784
zbMATH
1067.11026
Milestones
Received: 4 September 2001
Accepted: 5 June 2002
Published online: May 2003

Authors

Erez Lapid

Einstein Institute of Mathematics, Hebrew University of Jerusalem, 91904 Jerusalem, Israel

Stephen Rallis

Department of Mathematics, The Ohio State University, Columbus, OH 43210-1174, United States