Computations in non‐commutative Iwasawa theory

By Tim Dokchitser, Vladimir Dokchitser, John Coates, R. Sujatha. 2005

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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(μp∞,mp∞)/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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/82c69ca84ec38af990fe54fd1ef40440cff99de8