Humphries, PCL;
Brumley, F;
(2018)
Standard zero-free regions for Rankin–Selberg L-functions via sieve theory.
Mathematische Zeitschrift
10.1007/s00209-018-2136-8.
Preview |
Text
Humphries_Brumley2018_Article_StandardZero-freeRegionsForRan.pdf - Published Version Download (516kB) | Preview |
Abstract
We give a simple proof of a standard zero-free region in the t-aspect for the Rankin–Selberg L-function L(s,π×π˜) for any unitary cuspidal automorphic representation π of GLn(AF) that is tempered at every nonarchimedean place outside a set of Dirichlet density zero.
| Type: | Article |
|---|---|
| Title: | Standard zero-free regions for Rankin–Selberg L-functions via sieve theory |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00209-018-2136-8 |
| Publisher version: | https://doi.org/10.1007/s00209-018-2136-8 |
| Language: | English |
| Additional information: | © The Author(s) 2018. Open Access: This 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: | Cuspidal automorphic representation, Rankin–Selberg, Zero-free region |
| 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/10060648 |
Downloads since deposit
73Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months
Archive Staff Only
 |
View Item |
