Comportement asymptotique des hauteurs des points de Heegner
Language
en
Article de revue
This item was published in
Journal de Théorie des Nombres de Bordeaux. 2009-10-14, vol. 21, n° 3, p. 741--753
Société Arithmétique de Bordeaux
English Abstract
The leading order term for the average, over quadratic discriminants satisfying the so-called Heegner condition, of the Neron-Tate height of Heegner points on a rational elliptic curve E has been determined in [12]. In ...Read more >
The leading order term for the average, over quadratic discriminants satisfying the so-called Heegner condition, of the Neron-Tate height of Heegner points on a rational elliptic curve E has been determined in [12]. In addition, the second order term has been conjectured. In this paper, we prove that this conjectured second order term is the right one; this yields a power saving in the remainder term. Cancellations of Fourier coefficients of GL(2)-cusp forms in arithmetic progressions lie in the core of the proof.Read less <
Origin
Hal imported