Consistency for partition regular equations

It is easy to deduce from Ramsey's Theorem that, given positive integers a1, a2, . . . , am and a finite colouring of the set N of positive integers, there exists an injective sequence (xi) i=1 with all sums of the form m i=1 aixri (r1 < r2 <

• Type: Journal
• Year: 2006
• Where: DM
• Authors: Imre Leader, Paul A. Russell
• Keywords: DM 2006, Finite Colouring, Injective Sequences, Positive Integers