Nick Wadleigh

activity

20162020

most citedHausdorff measure of sets of Dirichlet non-improvable numbers

46 citations · 67 across the 2 of their papers we have counts for

collaborators

4 papers

cs.CR2020

On the ideal shortest vector problem over random rational primes

Yanbin Pan, Jun Xu, Nick Wadleigh +1

Any ideal in a number field can be factored into a product of prime ideals. In this paper we study the prime ideal shortest vector problem (SVP) in the ring $Z [x] / (x^{2^{n}} + 1)$ …

math.NT2017★ 21 cited

An inhomogeneous Dirichlet theorem via shrinking targets

Dmitry Kleinbock, Nick Wadleigh

We give an integrability criterion on a real-valued non-increasing function $ψ$ guaranteeing that for almost all (or almost no) pairs $(A, b)$ , where $A$ is a real $m\time…

math.NT2017★ 46 cited

Hausdorff measure of sets of Dirichlet non-improvable numbers

Mumtaz Hussain, Dmitry Kleinbock, Nick Wadleigh +1

Let $ψ : R_{+} \to R_{+}$ be a non-increasing function. A real number $x$ is said to be $ψ$ -Dirichlet improvable if it admits an improvement to Dirichlet's theorem in the f…

math.NT2016

A zero-one Law for improvements to Dirichlet's Theorem

Dmitry Kleinbock, Nick Wadleigh

We give an integrability condition on a function $ψ$ guaranteeing that for almost all (or almost no) $x \in R$ , the system $∣ q x - p ∣ \leq ψ (t)$ , $∣ q ∣ < t$ is solvable in $p\in \m…