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math.NT2012
Exceptional sets for Diophantine inequalities
Scott T. Parsell, Trevor D. Wooley
We apply Freeman's variant of the Davenport-Heilbronn method to investigate the exceptional set of real numbers not close to some value of a given real diagonal form at an integral…
math.NT2012★ 2 cited
Near-optimal mean value estimates for multidimensional Weyl sums
Scott T. Parsell, Sean M. Prendiville, Trevor D. Wooley
We obtain sharp estimates for multidimensional generalisations of Vinogradov's mean value theorem for arbitrary translation-dilation invariant systems, achieving constraints on the…