Dummigan, N. (2020) Twisted adjoint L-values, dihedral congruence primes and the Bloch-Kato conjecture. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 90 (2). pp. 215-227. ISSN 0025-5858
Abstract
We show that a dihedral congruence prime for a normalised Hecke eigenform f in Sk(Γ0(D), χD), where χD is a real quadratic character, appears in the denominator of the Bloch-Kato conjectural formula for the value at 1 of the twisted adjoint L-function of f. We then use a formula of Zagier to prove that it appears in the denominator of a suitably normalised L(1, ad0(g) ⊗ χD) for some g ∈ Sk(Γ0(D), χD).
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s), under exclusive licence to Mathematisches Seminar der Universität Hamburg 2020. This is an author-produced version of a paper subsequently published in Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Twisted adjoint L-value; Dihedral congruence prime; Bloch–Kato conjecture |
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: | 21 Oct 2020 13:42 |
Last Modified: | 08 Feb 2022 13:03 |
Status: | Published |
Publisher: | Springer Nature |
Refereed: | Yes |
Identification Number: | 10.1007/s12188-020-00224-w |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:166766 |