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Sum-product phenomena for Ahlfors-regular sets

math.CA · 2025-01-03 · conditional · novelty 6.0

Ahlfors regular sets of dimension s ≤ 1/2 satisfy Nδ(A+A) + Nδ(AA) ≥ δ^{-4s/3+η}, the fractal analogue of Solymosi's 4/3 bound.

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  • Sum-product phenomena for Ahlfors-regular sets math.CA · 2025-01-03 · conditional · none · ref 5

    Ahlfors regular sets of dimension s ≤ 1/2 satisfy Nδ(A+A) + Nδ(AA) ≥ δ^{-4s/3+η}, the fractal analogue of Solymosi's 4/3 bound.