Rado's criterion over higher powers.
7th November 2017, 11:00 am – 12:00 pm
Howard House, 4th Floor Seminar Room
In Ramsey theory, 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.