Sparse Roth-type results hold in near-maximal B_h sets; Sidon sets free of equations with five-coefficient zero-sums are small or have bounded-chromatic Cayley graphs, with constructions for the four-coefficient case.
arXiv:2601.18738
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Linear equations and chromatic thresholds in $B_h$ sets
Sparse Roth-type results hold in near-maximal B_h sets; Sidon sets free of equations with five-coefficient zero-sums are small or have bounded-chromatic Cayley graphs, with constructions for the four-coefficient case.