Exploració per autor "Král, Daniel"

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    • A removal lemma for systems of linear equations over finite fields 

      Král, Daniel; Serra Albó, Oriol; Vena Cros, Lluís (2012-01)
      Article
      Accés obert
      We prove a removal lemma for systems of linear equations over finite fields: let X1, . . . , Xm be subsets of the finite field Fq and let A be a (k × m) matrix with coefficients in Fq and rank k; if the linear system Ax = ...

    • On the number of solutions of regular systems in sets with positive density in abelian groups 

      Král, Daniel; Serra Albó, Oriol; Vena, Lluis (2010)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      We prove a density version for the Ramsey statement that, for fixed r and sufficiently large n, every coloring of an abelian group of order n with r colors has nontrivial monochromatic solutions of the system Ax = 0, where ...