
The Library
Plus/minus p-adic L-functions for GL2n
Tools
Rockwood, Rob (2023) Plus/minus p-adic L-functions for GL2n. Annales mathematiques du Quebec , 177 . pp. 177-193. doi:10.1007/s40316-021-00191-5 ISSN 2195-4755.
|
PDF
WRAP-Plus-minus-p-adic-L-functions-for-GL2n-Rockwood-2022.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (330Kb) | Preview |
Official URL: http://doi.org/10.1007/s40316-021-00191-5
Abstract
We generalise Pollack’s construction of plus/minus L-functions to certain cuspidal automorphic representations of GL2n using the p-adic L-functions constructed in work of Barrera Salazar et al. (On p-adic l-functions for GL2n in finite slope shalika families, 2021). We use these to prove that the complex L-functions of such representations vanish at at most finitely many twists by characters of p-power conductor.
Item Type: | Journal Article | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
Library of Congress Subject Headings (LCSH): | L-functions, Automorphic forms, p-adic numbers, Birch-Swinnerton-Dyer conjecture, Iwasawa theory | ||||||||||
Journal or Publication Title: | Annales mathematiques du Quebec | ||||||||||
Publisher: | Springer | ||||||||||
ISSN: | 2195-4755 | ||||||||||
Official Date: | April 2023 | ||||||||||
Dates: |
|
||||||||||
Volume: | 177 | ||||||||||
Number of Pages: | 17 | ||||||||||
Page Range: | pp. 177-193 | ||||||||||
DOI: | 10.1007/s40316-021-00191-5 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||
Date of first compliant deposit: | 3 March 2022 | ||||||||||
Date of first compliant Open Access: | 15 March 2022 |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year