2 citations · 2 across the 4 of their papers we have counts for
4 papers
The generalized Montgomery-Hooley formula: A survey
Robert C. Vaughan
This memoir is a survey of theorems and inequalities which have grown out of, and extended, the seminal estimate of Montgomery \cite{HM70} \begin{multline*} V(x,Q)=\sum_{q\le Q}\su…
Squarefree density of polynomials
J. M. Kowalski, R. C Vaughan
This paper is concerned with squarefree values of polynomials and their density in large boxes centered at the origin.
On generating functions in additive number theory, II: Lower-order terms and applications to PDEs
Julia Brandes, Scott T. Parsell, Konstantinos Poulias +2
We obtain asymptotics for sums of the form involving lower order main terms. As an application, we show that for almost all one…
Inhomogeneous Diophantine approximation on planar curves
Victor Beresnevich, Sanju Velani, Robert C. Vaughan
The inhomogeneous metric theory for the set of simultaneously -approximable points lying on a planar curve is developed. Our results naturally incorporate the homogeneous Khintc…