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.

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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:	Date Event April 2023 Published 18 January 2022 Available 30 October 2021 Accepted 21 July 2021 Submitted
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

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