The Spin L-Function of Quasi-Split D₄

Authors

Wee Teck Gan, University of California - San DiegoFollow
Joseph Hundley, Southern Illinois University CarbondaleFollow

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Papers following peer review. The definitive publisher-authenticated version in Int Math Res Papers (2006) Vol. 2006, article ID 68213 is available online at doi:10.1155/IMRP/2006/68213.

Abstract

We construct a multivariable Rankin-Selberg integral for the Spin L-function of a globally generic cuspidal representation of an arbitrary quasi-split group of type D₄. This proves the meromorphic continuation of this L-function. When the quasi-split group of type D₄ is associated to a cubic field extention, this L-function cannot be analyzed by the Langlands-Shahidi method.

Recommended Citation

Gan, Wee Teck and Hundley, Joseph. "The Spin L-Function of Quasi-Split D₄." (Jan 2006).