Solution-free sets for sums of binary formsPrendiville, S. M. (2013) Solution-free sets for sums of binary forms. Proceedings of the London Mathematical Society, 107 (3). pp. 267-302. ISSN 1460-244X Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1112/plms/pds083 Abstract/SummaryIn this paper, we obtain quantitative estimates for the asymptotic density of subsets of the integer lattice Z2 that 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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