Uniqueness of Rankin-Selberg products

Guy Henniart; Luis Lomelí

doi:10.1016/j.jnt.2013.05.015

Uniqueness of Rankin-Selberg products

Guy Henniart, Luis Lomelí

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

9 Scopus citations

Abstract

In the present paper, we show the equality of the γ-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method. Our results are new in the case of positive characteristic, where we establish a refined version of the local-global principle for _GLn which has independent interest. In characteristic zero, the results are due to Shahidi. The comparison of γ-factors is made via a uniqueness result for Rankin-Selberg γ-factors.

Original language	English
Pages (from-to)	4024-4035
Number of pages	12
Journal	Journal of Number Theory
Volume	133
Issue number	12
DOIs	https://doi.org/10.1016/j.jnt.2013.05.015
State	Published - Dec 2013
Externally published	Yes

Keywords

Automorphic L-functions
Local factors

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10.1016/j.jnt.2013.05.015

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abstract = "In the present paper, we show the equality of the γ-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method. Our results are new in the case of positive characteristic, where we establish a refined version of the local-global principle for GLn which has independent interest. In characteristic zero, the results are due to Shahidi. The comparison of γ-factors is made via a uniqueness result for Rankin-Selberg γ-factors.",

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AU - Lomelí, Luis

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AB - In the present paper, we show the equality of the γ-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method. Our results are new in the case of positive characteristic, where we establish a refined version of the local-global principle for GLn which has independent interest. In characteristic zero, the results are due to Shahidi. The comparison of γ-factors is made via a uniqueness result for Rankin-Selberg γ-factors.

KW - Automorphic L-functions

KW - Local factors

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SP - 4024

EP - 4035

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 12

ER -

Uniqueness of Rankin-Selberg products

Abstract

Keywords

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