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

Abstract

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

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