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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…
math.CO2021
Extremal Sidon sets are Fourier uniform, with applications to partition regularity
Miquel Ortega, Sean Prendiville
Generalising results of Erdős-Freud and Lindström, we prove that the largest Sidon subset of a bounded interval of integers is equidistributed in Bohr neighbourhoods. We establish…