Hauteur asymptotique des points de Heegner

dc.creatorRicotta, Guillaume
dc.creatorVidick, T.
dc.date2005-11-17
dc.date.accessioned2026-07-07T06:51:23Z
dc.date.available2026-07-07T06:51:23Z
dc.descriptionThe asymptotic behaviour of the Neron-Tate height of Heegner points on a rational elliptic curve attached to an arithmetically normalized new cusp form f of weight 2, level N and trivial character is studied in this paper. By Gross-Zagier formula, this height is related to the special value at the critical point for the derivative of the Rankin-Selberg convolution of f with a certain weight one theta series attached to some ideal class of some imaginary quadratic field. Asymptotic formula for the first moments asociated to these Dirichlet series are proved and experimental results are carefully discussed.
dc.description24 pages, 7 figures, 3 tables, in French, submitted
dc.identifierhttps://arxiv.org/abs/math/0511439
dc.identifierhttp://arxiv.org/abs/math/0511439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104969
dc.subjectNumber Theory
dc.subject11G50 (Primary) 11M41 (Secondary)
dc.titleHauteur asymptotique des points de Heegner
dc.typetext

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