Bergström, J. and Dummigan, N. (2016) Eisenstein congruences for split reductive groups. Selecta Mathematica (New Series), 22 (3). pp. 1073-1115. ISSN 1022-1824
Abstract
We present a general conjecture on congruences between Hecke eigenvalues of parabolically induced and cuspidal automorphic representations of split reductive groups, modulo divisors of critical values of certain L-functions. We examine the consequences in several special cases and use the Bloch–Kato conjecture to further motivate a belief in the congruences.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2015 Springer International Publishing. This is an author produced version of a paper subsequently published in Selecta Mathematica (New Series). Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Congruences of modular forms; Harder’s conjecture; Bloch–Kato conjecture |
Dates: |
|
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: | 10 Jan 2017 14:25 |
Last Modified: | 31 Mar 2018 07:11 |
Published Version: | https://doi.org/10.1007/s00029-015-0211-0 |
Status: | Published |
Publisher: | Springer Verlag |
Refereed: | Yes |
Identification Number: | 10.1007/s00029-015-0211-0 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:110210 |