Skip Navigation



Proceedings of the London Mathematical Society Advance Access published online on November 27, 2006
Proceedings of the London Mathematical Society, doi:10.1112/plms/pdl014
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
94/1/211    most recent
pdl014v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Dokchitser, T.
Right arrow Articles by Sujatha, R.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2006 London Mathematical Society

Computations in non-commutative Iwasawa theory

T. Dokchitser1, V. Dokchitser1, J. Coates2 and R. Sujatha3

1 Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, United Kingdom, t.dokchitser{at}dpmms.cam.ac.uk, v.dokchitser{at}dpmms.cam.ac.uk
2 Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, United Kingdom, J.H.Coates{at}dpmms.cam.ac.uk
3 Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India sujatha{at}math.tifr.res.in

Received 14 September 2005.

We study special values of L-functions of elliptic curves over Q twisted by Artin representations that factor through a false Tate curve extension Formula. 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.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.