Solution-free sets for sums of binary forms
classification
🧮 math.NT
keywords
binaryformsadditiveanalogueapplicableasymptoticcontaindensity
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We obtain quantitative estimates for the asymptotic density of subsets of the two-dimensional integer lattice which contain only trivial solutions to an additive equation involving binary forms. In the process we develop an analogue of Vinogradov's mean value theorem applicable to binary forms.
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