Discrete logarithmic energy on the sphere

P.D. Dragnev, D.A. Legg, D.W. Townsend
2002 Pacific Journal of Mathematics  
In this article we consider the problem posed by Whyte, about the distribution of N point charges on the unit sphere, whose mutual distances have maximal geometric mean. Some properties of the extremal points are discussed. In the case when N = 5 the optimal configuration is established rigorously, which solves an open problem communicated by Rakhmanov.
doi:10.2140/pjm.2002.207.345 fatcat:nsigpkqkunhkpnl33el34qty7a