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On Zagier's conjecture for base changes of elliptic curves

François Brunault 1
1 Algèbre. Théorie des nombres
UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
Abstract : Let E be an elliptic curve over Q, and let F be a finite abelian extension of Q. Using Beilinson's theorem on a suitable modular curve, we prove a weak version of Zagier's conjecture for L(E/F,2), where E/F is the base extension of E to F.
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Submitted on : Monday, April 2, 2012 - 11:21:15 AM
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  • HAL Id : ensl-00684479, version 1
  • ARXIV : 1204.0374

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François Brunault. On Zagier's conjecture for base changes of elliptic curves. Documenta Mathematica, Universität Bielefeld, 2013, 18, pp.395-412. ⟨ensl-00684479⟩

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