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PRELIMINARIES 1 Notations Convex bodies
Ray sets and star bodies
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admissible algebraic Applying approximation arbitrary assertion automorphism basis belongs binary boundary bounded called coefficients condition Consequently consider constant contains contains a point continuous converges convex body coordinates critical determinant critical lattices cube Davenport deduced defined denote depending derive determinant distance function domain equal equivalent estimate exists expression extremal face fact finite fixed follows Further Furthermore geometry give given Hence holds homogeneous hyperplane indefinite independent inequality infinitely inhomogeneous inner point integers lattice point least lemma linear forms London Math Mahler Math matrix mean method minima Minkowski Moreover o-symmetric convex body observe obtained packing pairs particular positive number Proc proof of theorem proves quadratic forms quantity reduced relation remark respectively result Rogers satisfying sequence similar space sphere star body sufficiently suppose transformation true variables vectors volume