Dokchitser, T. ; Dokchitser, V. ; Coates, J. ; Sujatha, R. (2007) Computations in non-commutative Iwasawa theory Proceedings of the London Mathematical Society, 94 (1). pp. 211-272. ISSN 0024-6115
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Official URL: http://plms.oxfordjournals.org/content/94/1/211.sh...
Related URL: http://dx.doi.org/10.1112/plms/pdl014
Abstract
We study special values of L-functions of elliptic curves over ℚ twisted by Artin representations that factor through a false Tate curve extension ℚ(μΡ∞, p∞√m)/ℚ. In this setting, we explain how to compute L-functions and the corresponding Iwasawa-theoretic invariants of non-abelian twists of elliptic curves. Our results provide both theoretical and computational evidence for the main conjecture of non-commutative Iwasawa theory.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Oxford University Press. |
| ID Code: | 45260 |
| Deposited On: | 25 Jun 2011 13:34 |
| Last Modified: | 27 Jun 2011 03:32 |
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