An inhomogeneous Dirichlet theorem via shrinking targets

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Abstract

We give an integrability criterion on a real-valued non-increasing function guaranteeing that for almost all (or almost no) pairs , where is a real matrix and , the system

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Kleinbock, D., & Wadleigh, N. (2019). An inhomogeneous Dirichlet theorem via shrinking targets. Compositio Mathematica, 155(7), 1402–1423. https://doi.org/10.1112/S0010437X1900719X

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