Ramanujan duals and automorphic spectrum

M. Burger, J.-S. Li, Peter Sarnak

Type: Article

Publication Date: 1992-04-01

Citations: 62

DOI: https://doi.org/10.1090/s0273-0979-1992-00267-7

Abstract

We introduce the notion of the automorphic dual of a matrix algebraic group defined over Q .This is the part of the unitary dual that corresponds to arithmetic spectrum.Basic funcional properties of this set are derived and used both to deduce arithmetic vanishing theorems of "Ramanujan" type as well as to give a new construction of automorphic forms.

Locations

Bulletin of the American Mathematical Society - View - PDF
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF
Bulletin of the American Mathematical Society - View - PDF
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF

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