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Test vectors for Rankin-Selberg L-functions

Research output: Contribution to journalArticle

Original languageEnglish
Number of pages11
JournalJournal of Number Theory
DateAccepted/In press - 10 Sep 2019

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.

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