Stark conjectures for CM elliptic curves over number fields.

DOI10.1016/S0022-314X(03)00112-4zbMath1102.11033arXivmath/0108216WikidataQ122965830 ScholiaQ122965830MaRDI QIDQ1421289

Jeffrey Stopple

Publication date: 26 January 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108216

zbMATH Keywords

special values of \(L\)-functionsStark conjecturesBeilinson conjectures

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Polylogarithms and relations with (K)-theory (11G55)

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Arithmetic on elliptic curves with complex multiplication. II
• Zagier's conjecture on \(L(E,2)\)
• \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
• Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
• Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I
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