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19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2004 · math.NTShow all

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math.NT2004★ 4 cited

Étude du cas rationnel de la théorie des formes linéaires de logarithmes. (French) [Study of the rational case of the theory of linear forms in logarithms]

Éric Gaudron

We establish new measures of linear independence of logarithms on commutative algebraic groups in the so-called \emph{rational case}. More precisely, let k be a number field and v_…

math.NT2004

On Minkowksi's bound for lattice-packings

Roland Bacher

We give a new proof of the Minkowski-Hlawka bound on the existence of dense lattices. The proof is based on an elementary method for constructing dense lattices which is almost eff…

math.NT2004

Approximants de Padé des -polylogarithmes

Christian Krattenthaler, Tanguy Rivoal

We solve a Padé-type problem of approximating three specific functions simultaneously by -analogues of polylogarithms, respectively by powers of the logarithm. This problem is i…