1 citations · 2 across the 5 of their papers we have counts for
5 papers
A Hardy-type result on the average of the lattice point error term over long intervals
Burton Randol
Suppose is a suitably admissible compact subset of having a smooth boundary with possible zones of zero curvature. Let \mbox{$R(T,θ,x)= N(T,θ,x) - T^{k}\mathrm{v…
Stable configurations of repelling points on compact manifolds II
Marina Nechayeva, Burton Randol
This paper describes, in the case of the unit circle, several applications of a geometrically intrinsic treatment of counterparts of classical electrostatics, previously developed…
Stable Configurations of repelling Points on compact Manifolds
Burton Randol
This is an expanded version of [arXiv:1107.4836v1 [math.DS]]. Using techniques from [Chapter XI, The Selberg Trace Formula, in Eigenvalues in Riemannian Geometry, by Isaac Chavel],…
Stable Configurations of repelling points on compact hyperbolic Manifolds
Burton Randol
It is shown that on compact hyperbolic manifolds, certain stable configurations of points which mutually repel along all interconnecting geodesics become equidistributed as the num…
Approximation of Measures on S^n by discrete Measures
Marina Nechayeva, Burton Randol
We study the asymptotic behavior of discrete measures on S^{n-1} that are induced by radially projecting point masses concentrated on the integral lattice-points within dilates of…