A Family of New-Way Integrals for the Standard L-function of Cuspidal Representations of the Exceptional Group of Type G2

Avner Segal

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Let LS(s, π, Χ, st) be a standard twisted partial L-function of degree 7 of the cuspidal automorphic representation π of the exceptional group of type G2. In this paper, we consider a family of Rankin-Selberg integrals and prove that it represents this L-function. As an application, we prove that the representations attaining certain prescribed poles are exactly the representations attained by θ-lift from a group of finite type.

Original languageEnglish
Pages (from-to)2014-2099
Number of pages86
JournalInternational Mathematics Research Notices
Volume2017
Issue number7
DOIs
StatePublished - 1 Apr 2017

ASJC Scopus subject areas

  • Mathematics (all)

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