Single radius spherical cap discrepancy via gegenbadly approximable numbers

Inequalities and extremum problems involving convexity in convex geometry (52A40) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Irregularities of distribution, discrepancy (11K38)

Cites Work

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Harmonic divisors and rationality of zeros of Jacobi polynomials
On Gruber's problem concerning uniform distribution on the sphere
Deterministic and probabilistic discrepancies
Irregularities of distribution. I
On means of distances on the surface of a sphere (lower bounds)
On means of distances on the surface of a sphere. II: Upper bounds
Point sets on the sphere \(\mathbb{S}^{2}\) with small spherical cap discrepancy
Irregularities of distribution and geometry of planar convex sets
The Stolarsky principle and energy optimization on the sphere
Rational values of the arccosine function
Spherical cap discrepancy of the diamond ensemble
A simple proof of Stolarsky's invariance principle
Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
Spherical Distributions of N Points with Maximal Distance Sums are well Spaced
The Behaviour of Legendre And Ultraspherical Polynomials in L_p-Spaces
On a lattice point problem arising in the spectral analysis of periodic operators
Sums of Distances Between Points on a Sphere. II
Geodesic distance Riesz energy on the sphere
Über eine Integralgleichung in der Theorie der konvexen Körper
Some notes on the roots of ultraspherical polynomials
Freak Theorem About Functions on a Sphere
A Note on Trigonometric Algebraic Numbers
Euler-Maclaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials
The Spherical Cap Discrepancy of HEALPix Points