54 citations · 90 across the 6 of their papers we have counts for
5 papers · 1 filter
On restriction estimates for discrete quadratic surfaces
Kevin Henriot, Kevin Hughes
We obtain truncated restriction estimates of an unexpected form for discrete surfaces \begin{align} S = \{\, ( n_1 , \dots , n_d , R( n_1 , \dots, n_d ) ) \,,\, n_i \in [-N,N] \cap…
Discrete restriction estimates of epsilon-removal type for kth-powers and k-paraboloids
Kevin Henriot, Kevin Hughes
We obtain restriction estimates of -removal type for the set of -th powers of integers, and for discrete -dimensional surfaces of the form \[ \{ (n_1,\dots,n_d,n_1^k + \do…
On systems of complexity one in the primes
Kevin Henriot
Consider a translation-invariant system of linear equations of complexity one, where is an integer matrix. We show that if is a subset of the primes…
On arithmetic progressions in A + B + C
Kevin Henriot
Our main result states that when A, B, C are subsets of Z/NZ of respective densities α,β,γ, the sumset A + B + C contains an arithmetic progression of length at least e^{c(\log N)^…
Nair-Tenenbaum bounds uniform with respect to the discriminant
Kevin Henriot
A common problem in analytic number theory is to bound the sum of an arithmetic function over a set of integers. Nair and Tenenbaum found a very general bound that applies to short…