Bergström, J., Dummigan, N., Mégarbané, T. et al. (2 more authors) (2018) Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple Product L-values. Experimental Mathematics, 27 (2). pp. 230-250. ISSN 1058-6458
Abstract
We work out instances of a general conjecture on congruences between Hecke eigenvalues of induced and cuspidal automorphic representations of a reductive group, modulo divisors of certain critical L-values, in the case that the group is a split orthogonal group. We provide some numerical evidence in the case that the group is SO(4, 3) and the L-function is the spinor L-function of a genus 2, vector-valued, Siegel cusp form. We also consider the case that the group is SO(4, 4) and the L-function is a triple product L-function.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Taylor & Francis. This is an author produced version of a paper subsequently published in Experimental Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
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: | 17 Jan 2017 13:59 |
Last Modified: | 07 Jun 2023 11:24 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.1080/10586458.2016.1251861 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:110654 |