Hanneke Wiersema
Integrality of twisted L-values of elliptic curves
Wiersema, Hanneke; Wuthrich, Christian
Abstract
Under suitable, fairly weak hypotheses on an elliptic curve E/Q and a primitive non-trivial Dirichlet character χ, we show that the algebraic L-value L (E, χ) at s = 1 is an algebraic integer. For instance, for semistable curves L (E, χ) is integral whenever E admits no isogenies defined over Q.
Citation
Wiersema, H., & Wuthrich, C. (2022). Integrality of twisted L-values of elliptic curves. Documenta Mathematica, 27, 2041-2066. https://doi.org/10.25537/dm.2022v27.2041-2066
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 24, 2022 |
Online Publication Date | Dec 31, 2022 |
Publication Date | Dec 31, 2022 |
Deposit Date | Oct 25, 2022 |
Publicly Available Date | Dec 31, 2022 |
Journal | Documenta Mathematica |
Electronic ISSN | 1431-0643 |
Publisher | Documenta Mathematica |
Peer Reviewed | Peer Reviewed |
Volume | 27 |
Pages | 2041-2066 |
DOI | https://doi.org/10.25537/dm.2022v27.2041-2066 |
Public URL | https://nottingham-repository.worktribe.com/output/4903750 |
Publisher URL | https://elibm.org/?q=Integrality+of+twisted+L-values+of+elliptic+curves |
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Publisher Licence URL
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