Computations in non-commutative Iwasawa theory

Tim Dokchitser; Vladimir Dokchitser

doi:10.1112/plms/pdl014

Computations in non-commutative Iwasawa theory

数论 2013-09-24 v1

作者: Tim Dokchitser , Vladimir Dokchitser

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摘要

We study special values of L-functions of elliptic curves over Q twisted by Artin representations that factor through a false Tate curve extension $Q(\mu_p^\infty,\sqrt[p^\infty]{m})/Q$ . 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.

关键词

iwasawa theory elliptic curves special functions and series expansions

引用

@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}
}

备注

60 pages; with appendix by John Coates and Ramdorai Sujatha

Computations in non-commutative Iwasawa theory

摘要

关键词

引用

备注

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