2 papers
math.LO2026
Monochromatic sums and quotients in
Mauro Di Nasso, Lorenzo Luperi Baglini, Rosario Mennuni +2
We prove partition regularity of the configuration in a strong infinitary form that extends Hindman's Theorem. We study the related issue of partition regularity of c…
math.CO2025
Asymptotic Ramsey theory of Diophantine equations
Lorenzo Luperi Baglini, Alessandro Vegnuti
We introduce the notion of asymptotic partition regularity for Diophantine equations. We show how this notion is at the core of almost all known negative results in the Ramsey theo…