On the nonnegativity of $L(\frac 12,\pi)$ for $SO(2n+1)$

arxiv: math/0402371 · v1 · submitted 2004-02-23 · 🧮 math.NT

On the nonnegativity of L(frac 12,π) for SO(2n+1)

Erez Lapid , Stephen Rallis This is my paper

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keywords cuspidalfracfrac12genericnonnegativityproverepresentation

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

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