97 citations
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math.NT2010★ 13 cited
Sur la densité des représentations cristallines du groupe de Galois absolu de Q_p
Gaëtan Chenevier
Let X_d be the p-adic analytic space classifying the d-dimensional (semisimple) p-adic Galois representations of the absolute Galois group of Q_p. We show that the crystalline repr…
math.NT2010★ 3 cited
An application of coding theory to estimating Davenport constants
Alain Plagne, Wolfgang A. Schmid
We investigate a certain well-established generalization of the Davenport constant. For a positive integer (the case , is the classical one) and a finite Abelian group $(G…
math.NT2010
Iterated compositions of linear operations on sets of positive upper density
Norbert Hegyvári, Francois Hennecart, Alain Plagne
Starting from a result of Stewart, Tijdeman and Ruzsa on iterated difference sequences, we introduce the notion of iterated compositions of linear operations. We prove a general re…