Solution-free sets for sums of binary forms

Details Solution-free sets for sums of binary forms Solution-free sets for sums of binary forms

2011-10-10

arxiv.org/abs/1110.1999v1

Mathematics

Number Theory

36 pages

Scientific paper

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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