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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2011 · math.NTShow all

4 papers · 2 filters

math.NT2011★ 1 cited

Bernstein polynomials on Simplex

A. Bayad, T. Kim, S. -H. Rim

We prove two identities for multivariate Bernstein polynomials on simplex, which are considered on a pointwise. In this paper, we study good approximations of Bernstein polynomials…

math.NT2011★ 2 cited

p-adic meromorphic functions f'P'(f), g'P'(g) sharing a small function

Kamal Boussaf, Escassut Alain, Jacqueline Ojeda

Let K be a complete algebraically closed p-adic field of characteristic zero. Let f, g be two transcendental meromorphic functions in the whole field K or meromorphic functions in…

math.NT2011★ 8 cited

Rational points on X_0^+ (p^r)

Yu. Bilu, P. Parent, M. Rebolledo

We show how the recent isogeny bounds due to É. Gaudron and G. Rémond allow to obtain the triviality of X_0^+ (p^r)(Q), for r>1 and p a prime exceeding 2.10^{11}. This includes the…

math.NT2011

Spiegelungssatz: a combinatorial proof for the 4-rank

Laurent Habsieger, Emmanuel Royer

The Spiegelungssatz is an inequality between the (4)-ranks of the narrow ideal class groups of the quadratic fields (\mathbb{Q}(\sqrt{D})) and (\mathbb{Q}(\sqrt{-D})). We provide a…