17 citations · 67 across the 23 of their papers we have counts for
4 papers · 1 filter
Partition regularity in imaginary quadratic rings of integers
Sebastián Donoso, Andreu Ferré Moragues, Andreas Koutsogiannis +1
We obtain partition regularity results for homogeneous quadratic equations whose parametrized solutions admit nice factorizations into linear forms over rings of integers of imagin…
Density theorems for rational numbers
Andreas Koutsogiannis
Introducing the notion of a rational system of measure preserving transformations and proving a recurrence result for such systems, we give sufficient conditions in order a subset…
Ramsey theory for p-quasicyclic groups with a view towards topological dynamics
Andreas Koutsogiannis
We prove additive and multiplicative partition theorems, obtaining combinatorial results for p-quasicyclic groups, where p is a prime number. We also get density results for p-quas…
Ramsey Theory for Words Representing Rationals
Vassiliki Farmaki, Andreas Koutsogiannis
Ramsey theory for words over a finite alphabet was unified in the work of Carlson and Furstenberg-Katznelson. Carlson, in the same work, outlined a method to extend the theory for…