Journal article
Test vectors for Rankin-Selberg L-functions
Journal of number theory, Vol.209, pp.37-48
04/01/2020
DOI: 10.1016/j.jnt.2019.08.010
Abstract
We study the local zeta integrals attached to a pair of generic representations (pi, tau) of GL(n) x GL(m), > 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 pi and tau. In many cases, these Whittaker functions also serve as a test vector for the associated Rankin-Selberg (local) L-function. (C) 2019 Elsevier Inc. All rights reserved.
Details
- Title: Subtitle
- Test vectors for Rankin-Selberg L-functions
- Creators
- Andrew R Booker - University of BristolM Krishnamurthy - University of IowaMin Lee - Avon (United States)
- Resource Type
- Journal article
- Publication Details
- Journal of number theory, Vol.209, pp.37-48
- DOI
- 10.1016/j.jnt.2019.08.010
- ISSN
- 0022-314X
- eISSN
- 1096-1658
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Number of pages
- 12
- Grant note
- EP/K034383/1 / EPSRC; UK Research & Innovation (UKRI); Engineering & Physical Sciences Research Council (EPSRC) Royal Society University Research Fellowship; Royal Society of London Stanley-UI Foundation Support Organization
- Language
- English
- Date published
- 04/01/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241158702771
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