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Sum-product phenomena for Ahlfors-regular sets
Published 3 Jan 2025 in math.CA, math.MG, and math.CO | (2501.02131v2)
Abstract: We utilise the recent work of Orponen to yield a result of sum and product for Ahlfors-regular sets. The result is sharp up to constants. As a corollary, we obtain the fractal analogue of Solymosi's $4/3$-bound for finite subsets of
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