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Test vectors for Rankin–Selberg L-functions

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)37-48
Number of pages12
JournalJournal of Number Theory
Volume209
Early online date4 Oct 2019
DOIs
DateAccepted/In press - 17 Aug 2019
DateE-pub ahead of print - 4 Oct 2019
DatePublished (current) - 1 Apr 2020

Abstract

We study the local zeta integrals attached to a pair of generic representations (π,τ) of GLn×GLm, n>m, over a p-adic field. Through a process of unipotent averaging we produce a pair of corresponding Whittaker functions whose zeta integral is non-zero, and we express this integral in terms of the Langlands parameters of π and τ. In many cases, these Whittaker functions also serve as a test vector for the associated Rankin–Selberg (local) L-function.

    Research areas

  • Automorphic representations, Test vectors

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  • Full-text PDF (author’s accepted manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at https://www.sciencedirect.com/science/article/pii/S0022314X19302902#! . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 321 KB, PDF document

    Embargo ends: 4/10/21

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    Licence: CC BY-NC-ND

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