Dummigan, N. and Schönnenbeck, S. (2019) Automorphic forms on Feit’s Hermitian lattices. Experimental Mathematics, 30 (4). pp. 557-574. ISSN 1058-6458
Abstract
We consider the genus of 20 classes of unimodular Hermitian lattices of rank 12 over the Eisenstein integers. This set is the domain for a certain space of algebraic modular forms. We find a basis of Hecke eigenforms, and guess global Arthur parameters for the associated automorphic representations, which recover the computed Hecke eigenvalues. Congruences between Hecke eigenspaces, combined with the assumed parameters, recover known congruences for classical modular forms, and support new instances of conjectured Eisenstein congruences for U(2,2) automorphic forms.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Taylor & Francis Group, LLC. This is an author-produced version of a paper subsequently published in Experimental Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | automorphic representations of unitary groups; unimodular Hermitian lattices; algebraic modular forms; congruences of automorphic forms |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 09 May 2019 10:56 |
Last Modified: | 17 May 2024 15:28 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.1080/10586458.2019.1581857 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:145797 |