Humphries, P;
(2021)
Test vectors for non‐Archimedean Godement–Jacquet zeta integrals.
Bulletin of the London Mathematical Society
, 53
(1)
pp. 92-99.
10.1112/blms.12401.
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Abstract
Given an induced representation of Langlands type ( π , V π ) of GL n ( F ) with F non‐Archimedean, we show that there exist explicit choices of matrix coefficient β and Schwartz–Bruhat function Φ for which the Godement–Jacquet zeta integral Z ( s , β , Φ ) attains the L ‐function L ( s , π ).
| Type: | Article |
|---|---|
| Title: | Test vectors for non‐Archimedean Godement–Jacquet zeta integrals |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1112/blms.12401 |
| Publisher version: | https://doi.org/10.1112/blms.12401 |
| Language: | English |
| Additional information: | © 2020 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution‐NonCommercial‐NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made. |
| Keywords: | 11F70 (primary), 20G05, 22E50 (secondary) |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10126861 |
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