Professor Athanasios Bouganis athanasios.bouganis@durham.ac.uk
Professor
Let E be an elliptic curve over , and τ an Artin representation over that factors through the non-abelian extension , where p is an odd prime and n, m are positive integers. We show that L(E,τ,1), the special value at s=1 of the L-function of the twist of E by τ, divided by the classical transcendental period Ω+ d+ |Ω− d− |ε(τ) is algebraic and Galois-equivariant, as predicted by Deligne's conjecture.
Bouganis, A., & Dokchitser, V. (2007). Algebraicity of L-values for elliptic curves in a false Tate curve tower. Mathematical Proceedings of the Cambridge Philosophical Society, 142(2), 193-204. https://doi.org/10.1017/s030500410600987x
Journal Article Type | Article |
---|---|
Online Publication Date | Apr 10, 2007 |
Publication Date | Apr 10, 2007 |
Deposit Date | Oct 4, 2013 |
Publicly Available Date | Apr 11, 2017 |
Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
Print ISSN | 0305-0041 |
Electronic ISSN | 1469-8064 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 142 |
Issue | 2 |
Pages | 193-204 |
DOI | https://doi.org/10.1017/s030500410600987x |
Public URL | https://durham-repository.worktribe.com/output/1446160 |
Accepted Journal Article
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Copyright Statement
This article has been published in a revised form in Mathematical proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/S030500410600987X. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge Philosophical Society 2007
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