A doubling integral for G2
Representation Theory
2012-10-16 v1 Number Theory
Abstract
We introduce a new integral representation for the standard L-function of an irreducible cuspidal automorphic representation of the exceptional group G2, and also for the twist of this L-function by an arbitrary character. Because our construction unfolds to a matrix coefficient rather than a Whittaker function, it applies to non-generic representations as well as generic ones.
Cite
@article{arxiv.1210.3885,
title = {A doubling integral for G2},
author = {David Ginzburg and Joseph Hundley},
journal= {arXiv preprint arXiv:1210.3885},
year = {2012}
}