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2-adic slopes of Hilbert modular forms over Q(√5)

Birkbeck, C; (2020) 2-adic slopes of Hilbert modular forms over Q(√5). Bulletin of the London Mathematical Society 10.1112/blms.12361. (In press). Green open access

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Abstract

We show that for arithmetic weights with a fixed finite order character, the slopes of U_{p} for p = 2 (which is inert) acting on overconvergent Hilbert modular forms of level U_{0}(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.

Type: Article
Title: 2-adic slopes of Hilbert modular forms over Q(√5)
Open access status: An open access version is available from UCL Discovery
DOI: 10.1112/blms.12361
Publisher version: https://doi.org/10.1112/blms.12361
Language: English
Additional information: © 2020 The Authors. Bulletin of the London Mathematical Society published by John Wiley & Sons Ltd on behalf of London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/).
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
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10097077
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