On Zagier's conjecture for base extensions of elliptic curves

Details On Zagier's conjecture for base extensions of elliptic curves On Zagier's conjecture for base extensions of elliptic curves

2012-04-02

arxiv.org/abs/1204.0374v1

Mathematics

Number Theory

Scientific paper

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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