J. Hickman

activity

20152019

most citedCounting factorisations of monomials over rings of integers modulo

N

1 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2019★ 1 cited

Uniform $L^{p}$ Resolvent Estimates on the Torus

Jonathan Hickman

A new range of uniform $L^{p}$ resolvent estimates is obtained in the setting of the flat torus, improving previous results of Bourgain, Shao, Sogge and Yao. The arguments rely on th…

math.CA2018

An abstract $L^{2}$ Fourier restriction theorem

Jonathan Hickman, James Wright

An $L^{2}$ Fourier restriction argument of Bak and Seeger is abstracted to the setting of locally compact abelian groups. This is used to prove new restriction estimates for varietie…

math.NT2017★ 1 cited

Counting factorisations of monomials over rings of integers modulo $N$

Jonathan Hickman, James Wright

A sharp bound is obtained for the number of ways to express the monomial $X^{n}$ as a product of linear factors over $Z / p^{α} Z$ . The proof relies on an induction-on-s…

math.CA2015

Uniform $L_{x}^{p} - L_{x, r}^{q}$ Improving for Dilated Averages over Polynomial Curves

Jonathan Hickman

Numerous authors have considered the problem of determining the Lebesgue space mapping properties of the operator $A$ given by convolution with affine arc-length measure…

Uniform Lp Resolvent Estimates on the Torus

An abstract L2 Fourier restriction theorem

Counting factorisations of monomials over rings of integers modulo N

Uniform Lxp​−Lx,rq​ Improving for Dilated Averages over Polynomial Curves

Uniform $L^{p}$ Resolvent Estimates on the Torus

An abstract $L^{2}$ Fourier restriction theorem

Counting factorisations of monomials over rings of integers modulo $N$

Uniform $L_{x}^{p} - L_{x, r}^{q}$ Improving for Dilated Averages over Polynomial Curves