Optimal asymptotic bounds for spherical designs

Andriy Bondarenko; Danylo Radchenko; Maryna Viazovska

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arXiv · 1009.4407

Optimal asymptotic bounds for spherical designs

Andriy Bondarenko·Danylo Radchenko·Maryna Viazovska

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Abstract

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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BibTeX RIS

Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska. 2011-03-07. Optimal asymptotic bounds for spherical designs. https://arxiv.org/abs/1009.4407

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