Ramsey multiplicity of linear patterns in certain finite abelian groups
Ramsey multiplicity of linear patterns in certain finite abelian groups
In this article, we explore an arithmetic analogue of a long-standing open problem in graph theory: what can be said about the number of monochromatic additive configurations in 2-colourings of finite abelian groups? We are able to answer several instances of this question using techniques from additive combinatorics and quadratic …