A converse theorem for GL(n)

Andrew R. Booker*, M. Krishnamurthy

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
213 Downloads (Pure)


We complete the work of Cogdell and Piatetski-Shapiro [3] to prove, for n≥3, a converse theorem for automorphic representations of GLn over a number field, with analytic data from twists by unramified representations of GLn-1.

Original languageEnglish
Pages (from-to)154-180
Number of pages27
JournalAdvances in Mathematics
Early online date18 Apr 2016
Publication statusPublished - 25 Jun 2016


  • Automorphic forms
  • Converse theorems


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