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 language | English |
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Pages (from-to) | 2014-2099 |
Number of pages | 86 |
Journal | International Mathematics Research Notices |
Volume | 2017 |
Issue number | 7 |
DOIs | |
State | Published - 1 Apr 2017 |
ASJC Scopus subject areas
- General Mathematics