Exploració per tema "Monochromatic solutions"
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On the number of monochromatic solutions of integer linear systems on Abelian groups
(2011-12-01)
Article
Accés restringit per política de l'editorialLet G be a finite cyclic group an let r be a positive integer. Let A be a k×m matrix with integer entries. We show that, if A satisfies some natural conditions, then the homogeneous linear system Ax=0 has Ω(|GN|m−k) ...