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.
Original language | English |
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Pages (from-to) | 37-48 |
Number of pages | 12 |
Journal | Journal of Number Theory |
Volume | 209 |
Early online date | 4 Oct 2019 |
DOIs | |
Publication status | Published - 1 Apr 2020 |
Keywords
- Automorphic representations
- Test vectors