The spin L-function of quasi-split D4

Wee Teck Gan; Joseph Hundley

doi:10.1155/IMRP/2006/68213

The spin L-function of quasi-split D₄

Wee Teck Gan
, Joseph Hundley

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Article number	68213
Journal	International Mathematics Research Papers
Volume	2006
DOIs	https://doi.org/10.1155/IMRP/2006/68213
State	Published - 2006

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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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AU - Gan, Wee Teck

AU - Hundley, Joseph

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/33845277117

U2 - 10.1155/IMRP/2006/68213

DO - 10.1155/IMRP/2006/68213

M3 - Article

AN - SCOPUS:33845277117

SN - 1687-3017

VL - 2006

JO - International Mathematics Research Papers

JF - International Mathematics Research Papers

M1 - 68213

ER -

The spin L-function of quasi-split D₄

Abstract

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