Bouganis, A. and 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). pp. 193-204.
Abstract
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (200Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1017/S030500410600987X |
| Publisher 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 |
| Date accepted: | No date available |
| Date deposited: | 11 April 2017 |
| Date of first online publication: | 10 April 2007 |
| Date first made open access: | No date available |
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