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On critical values of L-functions of potentially automorphic motives

Salazar, DB; Guerberoff, L; (2016) On critical values of L-functions of potentially automorphic motives. Manuscripta Mathematica 10.1007/s00229-016-0900-9. Green open access

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Abstract

In this paper we prove a version of Deligne's conjecture for potentially automorphic motives, twisted by certain algebraic Hecke characters. The Hecke characters are chosen in such a way that we can use automorphic methods in the context of totally definite unitary groups.

Type: Article
Title: On critical values of L-functions of potentially automorphic motives
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s00229-016-0900-9
Publisher version: http://dx.doi.org/10.1007/s00229-016-0900-9
Language: English
Additional information: © The Author(s) 2016. Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Keywords: math.NT, math.NT, 11F67 (Primary) 11S40, 11F66, 11G40, 11G18, 11R39 (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.ucl.ac.uk/id/eprint/1522737
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