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.
ASJC Scopus subject areas
- Mathematics (all)