Uniqueness of Rankin-Selberg products

Guy Henniart, LUIS ALBERTO LOMELÍ

Research output: Contribution to journalArticlepeer-review

6 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 languageEnglish
Pages (from-to)4024-4035
Number of pages12
JournalJournal of Number Theory
Volume133
Issue number12
DOIs
StatePublished - 1 Dec 2013

Keywords

  • Automorphic L-functions
  • Local factors

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