A Rainbow Ramsey Analogue of Rado's Theorem
  We present a Rainbow Ramsey version of the well-known Ramsey-type theorem of Richard Rado. We use techniques from the Geometry of Numbers. We also disprove two conjectures proposed in the literature. 
Jes\'us A. De Loera and Reuben N. La Haye and Amanda Montejano and   Deborah Oliveros and Edgardo Rold\'an-Pensado
math.CO math.NT