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 2017Show all

3 papers · 1 filter

math.NT2017

Smooth values of polynomials

Jonathan Bober, Dan Fretwell, Greg Martin +1

Given $f \in Z [t]$ of positive degree, we investigate the existence of auxiliary polynomials $g \in Z [t]$ for which $f (g (t))$ factors as a product of polynomials of…

math.NT2017★ 125 cited

Nested efficient congruencing and relatives of Vinogradov's mean value theorem

Trevor D. Wooley

We apply a nested variant of multigrade efficient congruencing to estimate mean values related to that of Vinogradov. We show that when $φ_{j} \in Z [t]$ $(1 \leq j \leq k)$ is a s…

math.NT2017

Vinogradov systems with a slice off

Julia Brandes, Trevor D. Wooley

Let $I_{s, k, r} (X)$ denote the number of integral solutions of the modified Vinogradov system of equations $$x_1^j+\ldots +x_s^j=y_1^j+\ldots +y_s^j\quad (\text{ $1 \leq j \leq k$ , $j\ne…