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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2008 · math.NTShow all

12 papers · 2 filters

math.NT2008

Minoration de la hauteur de Neron-Tate sur les surfaces abeliennes

Fabien Pazuki

This paper contains results concerning a conjecture made by Lang and Silverman predicting a lower bound for the canonical height on abelian varieties of dimension 2 over number fie…

math.NT2008★ 5 cited

The second moment of Dirichlet twists of Hecke -functions

Peng Gao, Rizwanur Khan, Guillaume Ricotta

Fix a Hecke cusp form , and consider the -function of twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus , what i…

math.NT2008★ 1 cited

Quantitative Riemann existence theorem over a number field

Yuri F. Bilu, Marco Strambi

Given a covering of the projective line with ramifications defined over a number field, we define a plain model of the algebraic curve realizing the Riemann existence theorem for t…

math.NT2008★ 2 cited

Comportement asymptotique des hauteurs des points de Heegner

Guillaume Ricotta, Nicolas Templier

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 c…

math.NT2008★ 1 cited

Serre's uniformity problem in the split Cartan case

Yuri Bilu, Pierre Parent

We prove that there exists an integer p_0 such that X_split(p)(Q) is made of cusps and CM-points for any prime p>p_0. Equivalently, for any non-CM elliptic curve E over Q and any p…

math.NT2008

Lower order terms for the one-level densities of symmetric power -functions in the level aspect

Guillaume Ricotta, Emmanuel Royer

In a previous paper, the authors determined, among other things, the main terms for the one-level densities for low-lying zeros of symmetric power L-functions in the level aspect.…