Lesesvre, Didier;
Petrow, Ian;
(2022)
The volumes of Miyauchi subgroups.
Archiv der Mathematik
, 119
pp. 37-51.
10.1007/s00013-022-01746-w.
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Abstract
Miyauchi described the L and ε-factors attached to generic representations of the unramified unitary group of rank three in terms of local newforms defined by a sequence of subgroups. We calculate the volumes of these Miyauchi groups.
| Type: | Article |
|---|---|
| Title: | The volumes of Miyauchi subgroups |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00013-022-01746-w |
| Publisher version: | https://doi.org/10.1007/s00013-022-01746-w |
| Language: | English |
| Additional information: | © 2022 Springer Nature Switzerland AG. Part of Springer Nature. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Congruence subgroups, Newform theory, Miyauchi groups, Weyl law, Automorphic forms on unitary groups |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10149621 |
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