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20022005
most citedA probabilistic approach to the geometry of the \ell_p^n-ball

181 citations

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math.NT2008★ 1 cited

Test vectors for trilinear forms : the case of two principal series

Mladen Dimitrov, Louise Nyssen

Let F be a finite extension of Qp and G be GL(2,F). When V is the tensor product of three admissible, irreducible, finite dimensional representations of G, the space of G-invariant…

math.NT2005★ 7 cited

Transcendance de périodes: état des connaissances

Michel Waldschmidt

Les nombres réels ou complexes forment un ensemble ayant la puissance du continu. Parmi eux, ceux qui sont intéressants, qui apparaissent naturellement, qui méritent notre attentio…

math.NT2005★ 1 cited

Mesure de Mahler d'hypersurfaces K3

Marie José Bertin

We express the logarithmic Mahler measure of two families of polynomials defining K3 hypersurfaces of generic Picard number 19 in terms of Eisenstein-Kronecker series. For some sin…

math.NT2004★ 1 cited

Quelques aspects diophantiens des varietes toriques projectives

Patrice Philippon, Martin Sombra

Some diophantine aspects of projective toric varieties: We present several faces of projective toric varieties, of interest from the point of view of diophantine geometry. We make…

math.NT2004★ 7 cited

Siegel's theorem and the abc conjecture

Andrea Surroca

Following N. Elkies ("ABC implies Mordell") we show that the abc conjecture of Masser-Oesterle implies an effective version of Siegel's theorem about integral points on algebraic c…

math.NT2004★ 2 cited

Equidistribution quantitative des points de petite hauteur sur la droite projective

Charles Favre, Juan Rivera-Letelier

We introduce a new class of adelic heights on the projective line. We estimate their essential minimum and prove a result of equidistribution (at every place) for points of small h…