Spring 2017

Ramsey Results over Sparse Arithmetic Sets

Wednesday, Jun. 20, 2018 2:00 pm2:45 pm

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Schur's theorem states that however one finitely colours the positive integers, there is always a solution to the equation x+y = z in which each variable receives the same colour. Rado completely characterised which linear equations possess this property and which do not. We discuss analogues of these results for certain non-linear Diophantine equations in sufficiently many variables.