Abstract
Let K be a compact convex set in En, symmetric about \( \mathop 0\limits_ = \), and suppose that \( \mathop 0\limits_ = \) lies in the interior of K. We call such a set a convex body. Let V(K) denote the volume of K. (By the volume of K we mean the Riemann integral of the characteristic function of K. It can be proved that every convex body has a volume in this sense. Alternatively, the existence of the volume of K may be added as a hypothesis.)
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© 1980 Springer-Verlag Berlin Heidelberg
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(1980). Integer Points in Parallelepipeds. In: Diophantine Approximation. Lecture Notes in Mathematics, vol 785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38645-2_4
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DOI: https://doi.org/10.1007/978-3-540-38645-2_4
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