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math.NT2020★ 1 cited
The Kronecker-Weyl equidistribution theorem and geodesics in 3-manifolds
Jozsef Beck, William Chen
Given any rectangular polyhedron 3-manifold tiled with unit cubes, we find infinitely many explicit directions related to cubic algebraic numbers such that all half-infinite ge…
math.NT2010
An L^1 estimate for half-space discrepancy
William W. L. Chen, Giancarlo Travaglini
For every unit vector and every , let % % \begin{displaymath} P_{σ,r}=[-1,1]^d\cap\{t\in\Rr^d:t\cdotσ\le r\} \end{displaymath} % % denote the intersection of t…