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On the number of lattice points in convex symmetric bodies and their duals

✍ Scribed by H. Gillet; C. Soulé

Book ID: 112889675
Publisher: The Hebrew University Magnes Press
Year: 1991
Tongue: English
Weight: 304 KB
Volume: 74
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02775796

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## RATIO OF CONVEX BODIES Let K be a convex body in n-dimensional Euclidean space R" (n i> 2), V(K) > 0 its n-dimensional volume, A(K) its (n-1)-dimensional surface area, and L(K) the number of lattice points (points with integer coordinates) in the interior of K. We will be concerned with obtaini