144 citations · 741 across the 67 of their papers we have counts for
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On Waring's problem: some consequences of Golubeva's method
Trevor D. Wooley
We investigate sums of mixed powers involving two squares, two cubes, and various higher powers, concentrating on situations inaccessible to the Hardy-Littlewood method.
On Waring's problem: two squares, two cubes and two sixth powers
Trevor D. Wooley
We investigate the number of representations of a large positive integer as the sum of two squares, two positive integral cubes, and two sixth powers, showing that the anticipated…
On Waring's problem: two squares and three biquadrates
John B. Friedlander, Trevor D. Wooley
We investigate sums of mixed powers involving two squares and three biquadrates. In particular, subject to the truth of the Generalised Riemann Hypothesis and the Elliott-Halbersta…
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…
Subconvexity for additive equations: pairs of undenary cubic forms
Joerg Bruedern, Trevor D. Wooley
We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the nu…
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…