T. Wooley

collaborators

3 papers

math.NT2026

Structure and paucity in affine diagonal systems, I

Julia Brandes, Trevor D. Wooley

Let $ε > 0$ and $h \in Z^{3}$ . We show that whenever $P$ is large and the system \[ x_1^j+x_2^j-y_1^j-y_2^j=h_j\quad (j=1,2,3) \] has more than $P^{ε}$ …

math.NT2026

Strong paucity in the BrÃ¼dern-Robert Diophantine system

Trevor D. Wooley

Let $k$ be a natural number with $k \geq 2$ , and let $ε > 0$ . We consider the number $V_{k}^{*} (P)$ of integral solutions of the system of simultaneous Diophantine equations \[ x…

math.NT2025

Subconvex $L^{p}$ -sets, Weyl's inequality, and equidistribution

Trevor D. Wooley

We examine sets $A$ of natural numbers having the property that for some real number $p \in (0, 2)$ , one has the subconvex bound $$\int_0^1 \Bigl| \sum_{n\in \mathscr A\cap…

Structure and paucity in affine diagonal systems, I

Strong paucity in the BrÃ¼dern-Robert Diophantine system

Subconvex Lp-sets, Weyl's inequality, and equidistribution

Subconvex $L^{p}$ -sets, Weyl's inequality, and equidistribution