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arxiv: 1009.4407 · v3 · pith:L4JGK5QMnew · submitted 2010-09-22 · 🧮 math.MG · cs.NA· math.CO· math.NA

Optimal asymptotic bounds for spherical designs

Andriy Bondarenko , Danylo Radchenko , Maryna Viazovska This is my paper
classification 🧮 math.MG cs.NAmath.COmath.NA
keywords sphericalasymptoticboundsconjectureconsistingconstantdependingdesign
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In this paper we prove the conjecture of Korevaar and Meyers: for each $N\ge c_dt^d$ there exists a spherical $t$-design in the sphere $S^d$ consisting of $N$ points, where $c_d$ is a constant depending only on $d$.

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