T. Wooley

activity

20032026

most citedThe cubic case of the main conjecture in Vinogradov's mean value theorem

144 citations · 741 across the 67 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019★ 6 cited

Discrete restriction for $(x, x^{3})$ and related topics

Kevin Hughes, Trevor D. Wooley

Defining the truncated extension operator $E$ for a sequence $a (n)$ with $n \in Z$ by putting \[ E{a}(α,β):=\sum_{|n|\leq N}a(n) e(αn^3 + βn), \] we obtain the conjecture…

math.NT2019★ 7 cited

An instance where the major and minor arc integrals meet

Joerg Bruedern, Trevor D. Wooley

We apply the circle method to obtain an asymptotic formula for the number of integral points on a certain sliced cubic hypersurface related to the Segre cubic. Unusually, the major…

math.NT2019

Optimal mean value estimates beyond Vinogradov's mean value theorem

Julia Brandes, Trevor D. Wooley

We establish improved mean value estimates associated with the number of integer solutions of certain systems of diagonal equations, in some instances attaining the sharpest conjec…

Discrete restriction for (x,x3) and related topics

An instance where the major and minor arc integrals meet

Optimal mean value estimates beyond Vinogradov's mean value theorem

Discrete restriction for $(x, x^{3})$ and related topics