Geodesic
On Zagier's conjecture for base changes of elliptic curves
Documenta mathematica, Tome 18 (2013), pp. 395-412
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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(EF​,2), where EF​ is the base change of E to F.
DOI : 10.4171/dm/404
Classification : 11G40, 11G55, 19F27
Mots-clés : elliptic curves, L-functions, regulators, elliptic dilogarithm, Zagier's conjecture, Beilinson's conjecture 
@article{10_4171_dm_404,
     author = {Fran\c{c}ois Brunault},
     title = {On {Zagier's} conjecture for base changes of elliptic curves},
     journal = {Documenta mathematica},
     pages = {395--412},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/404},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/404/}
}
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%D 2013
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François Brunault. On Zagier's conjecture for base changes of elliptic curves. Documenta mathematica, Tome 18 (2013), pp. 395-412. doi: 10.4171/dm/404

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