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arXiv · 1204.0374

On Zagier's conjecture for base extensions of elliptic curves

François Brunault
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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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François Brunault. 2012-04-02. On Zagier's conjecture for base extensions of elliptic curves. https://arxiv.org/abs/1204.0374

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