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math.CO2023
The Rado Multiplicity Problem in Vector Spaces over Finite Fields
Juanjo Rué, Christoph Spiegel
We study an analogue of the Ramsey multiplicity problem for additive structures, in particular establishing the minimum number of monochromatic 3-APs in 3-colorings of $\mathbb{F}_…
math.CO2023★ 1 cited
Product-free sets in the free group
Miquel Ortega, Juanjo Rué, Oriol Serra
We prove that product-free sets of the free group over a finite alphabet have maximum density with respect to the natural measure that assigns total weight one to each set of…