144 citations · 741 across the 67 of their papers we have counts for
5 papers · 1 filter
On Weyl sums for smaller exponents
Kent D. Boklan, Trevor D. Wooley
We present a hybrid approach to bounding exponential sums over kth powers via Vinogradov's mean value theorem, and derive estimates of utility for exponents k of intermediate size.
Diophantine inequalities and quasi-algebraically closed fields
Craig V. Spencer, Trevor D. Wooley
Consider a form of degree , having coefficients in the completion of the field of fractions associated to the finite field . We estab…
Davenport's method and slim exceptional sets: the asymptotic formulae in Waring's problem
Koichi Kawada, Trevor D. Wooley
We apply a method of Davenport to improve several estimates for slim exceptional sets associated with the asymptotic formula in Waring's problem. In particular, we show that the an…
Relations between exceptional sets for additive problems
Koichi Kawada, Trevor D. Wooley
We describe a method for bounding the set of exceptional integers not represented by a given additive form in terms of the exceptional set corresponding to a subform. Illustrating…
Multiple recurrence and convergence along the primes
Trevor D. Wooley, Tamar D. Ziegler
Let be a set of positive upper density. Suppose that are polynomials having zero constant terms. We show that the set $E\cap…