On Zagier's conjecture for base extensions of elliptic curves
Number Theory
2023-06-23 v1
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.
Keywords
Cite
@article{arxiv.1204.0374,
title = {On Zagier's conjecture for base extensions of elliptic curves},
author = {François Brunault},
journal= {arXiv preprint arXiv:1204.0374},
year = {2023}
}