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Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory
In memory of Klaus Roth (October 29, 1925 – November 10, 2015). In this article, we develop the convergence theory of simultaneous, inhomogeneous Diophantine approximation on manifolds. A consequence of our main result is that if the manifold |$\mathcal{M} \subset \mathbb{R}^n$| is of dimension strictly greater than |$(n+1)/2$| and satisfies …