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On Values of Linear and Quadratic Forms at Integral Points

On Values of Linear and Quadratic Forms at Integral Points

The aim of this article is to give an exposition of certain applications of the study of the homogeneous space SL(n, ℝ)/SL(n, ℤ) and the flows on it induced by subgroups of SL(n, ℝ),to problems on values of linear and quadratic forms at integral points. Also, some complements to Margulis's …