arXiv subjects

Erez Lapid

Publications and source records attributed to Erez Lapid.

38 records · Page 3Linked to original sources

arXiv2007

Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n)

In this paper we study the asymptotic distribution of the cuspidal spectrum of arithmetic quotients of the symmetric space S=SL(n,R)/SO(n). In particular, we obtain Weyl's law with an estimation on the remainder term. This extends results of Duistermaat-Kolk-Varadarajan on spectral asymptotics for compact locally symmetric spaces to this non-compact setting.

math.RT↗

arXiv2004

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

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

math.NT↗