Comportement asymptotique des hauteurs des points de Heegner

RICOTTA, Guillaume; TEMPLIER, Nicolas

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RICOTTA, Guillaume
Institut de Mathématiques de Bordeaux [IMB]

TEMPLIER, Nicolas

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Journal de Théorie des Nombres de Bordeaux. 2009-10-14, vol. 21, n° 3, p. 741--753

Société Arithmétique de Bordeaux

Resumen en inglés

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.< Leer menos

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