"The Spin <em>L</em>-Function of Quasi-Split <em>D</em><sub>4</sub>" by Wee Teck Gan and Joseph Hundley
 

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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.

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