Computations in non-commutative Iwasawa theory
Number Theory
2013-09-24 v1
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 . 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.
Cite
@article{arxiv.math/0509286,
title = {Computations in non-commutative Iwasawa theory},
author = {Tim Dokchitser and Vladimir Dokchitser},
journal= {arXiv preprint arXiv:math/0509286},
year = {2013}
}
Comments
60 pages; with appendix by John Coates and Ramdorai Sujatha