Browsing by Author "Vena, Lluis"
Serra Albó, Oriol; Vena, Lluis (2011-12-01)
Restricted access - publisher's policyLet 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) ...
Král, Daniel; Serra Albó, Oriol; Vena, Lluis (2010)
Restricted access - publisher's policyWe 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 ...