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additive combinatorics 1b_2[g] sets 1hypergraph methods 1sidon sets 1uncrowded hypergraphs 1

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math.CO2026

Large subsets of the first squares

F. Bosio, R. Riblet, J. Tarr

The paper establishes a lower bound on the size of B₂[g] subsets of the first n squares, showing they contain at least a constant times n^{2g/(2g+1)} (log n)^{(2-2^g)/(2g+1)} eleme…