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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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2008_02_06_brauchart: Brauchart's bound of order n^{-1/4} on the spherical cap discrepancy of the n-point maximizers of the product of distances on the sphere, so every cap count deviates from its area share by O(n^{3/4}); refereed in Math. Comp.

2019_07_10_marzo_mas: Marzo and Mas bound the cap discrepancy of the Riesz s-energy minimizers on the d-sphere by explicit negative powers of n; for d = 2, s = 0 the maximizers of the product of distances have cap counts within O(n^{2/3}) of area share.