Ramanujan duals and automorphic spectrum

M. Burger, J. S. Li, P. Sarnak

Research output: Contribution to journalComment/debatepeer-review

37 Scopus citations


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 functorial 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.

Original languageEnglish (US)
Pages (from-to)253-257
Number of pages5
JournalBulletin of the American Mathematical Society
Issue number2
StatePublished - Apr 1992

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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