Poles of the standard L-function of G2 and the rallis-schiffmann lift

Nadya Gurevich, Avner Segal

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1 Scopus citations


We characterize the cuspidal representations of whose standard -function admits a pole at as the image of the Rallis-Schiffmann lift for the commuting pair () in . The image consists of non-tempered representations. The main tool is the recent construction, by the second author, of a family of Rankin-Selberg integrals representing the standard -function.

Original languageEnglish
Pages (from-to)1127-1161
Number of pages35
JournalCanadian Journal of Mathematics
Issue number5
StatePublished - 1 Oct 2019


  • Automorphic representation
  • Exceptional theta-lift
  • Siegel-Weil identity


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