# 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