The standard Lfunction for G_2: a "new way" integral
The standard Lfunction for G_2: a "new way" integral

Nadia Gurevich , Ben Gurion University
IAS Room S101
We consider a RankinSelberg integral representation of a cuspidal (not necessarily generic) representation of the exceptional group G2. Although the integral unfolds with a nonunique model, it turns out to be Eulerian and represents the standard Lfunction of degree 7. We discuss a general approach to the integrals with nonunique models. The integral can be used to describe the representations of G2 for which the (twisted) Lfunction has a pole as functorial lifts. This is a joint work with Avner Segal.