3 papers
math.OC2020
Exact semidefinite programming bounds for packing problems
Maria Dostert, David de Laat, Philippe Moustrou
In this paper we give an algorithm to round the floating point output of a semidefinite programming solver to a solution over the rationals or a quadratic extension of the rational…
math.NT2019
Pair correlation for Dedekind zeta functions of abelian extensions
David de Laat, Larry Rolen, Zack Tripp +1
Here we study problems related to the proportions of zeros, especially simple and distinct zeros on the critical line, of Dedekind zeta functions. We obtain new bounds on a countin…
math.MG2016
Optimal densities of packings consisting of highly unequal objects
David de Laat
Let be the optimal packing density of by unit balls. We show the optimal packing density using two sizes of balls approaches as the ratio of the ra…