LATTICE POINTS ON THE BOUNDARY OF THE INTEGER HULL

Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday

Volumn , Issue , 2003, Pages 33-48

  Bárány, Imre ^a,b   Böröczky, Károly ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54249098856     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203911211-4     Document Type: Chapter

References (13)

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2. A. Balog and I. Barany: On the convex hull of the integer points in a disk, DIMACS Series in Discrete Math., 6 (1991), 39-44.
3. A. Balog and J.-M. Deshouliiers: On some convex lattice polytopes, Number theory in progress, Vol. 2 (Zakopane-Koscielisko, 1997), 591-­606, de Gruyter, Berlin, 1999.
4. I. Barany and D. Larman: The convex hull of the integer points in a large ball, Math. Annalen, 312 (1998), 167-181.
5. L. Fejes Toth: Lagerungen in der Ebene, auf dem Kugel und im Raum, Springer, Berlin (1953).
6. E. Grosswald: Representation of integers as sums of squares, Springer, 1985.
7. P.M. Gruber and C.G. Lekkerkerker: Geometry of Numbers, North Hol­land, Amsterdam (1987).
8. S. B. Konyagin and K. A. Sevastyanov: Estimation of the number of vertices of a convex integral polyhedron in terms of its volume, Funk. Anal. Pril., 18 (1984), no. 1, 13-15. (in Russian)
9. G.H. Hardy and E.M. Wright: Introduction to the theory of numbers, Oxford, Clarendon (1954).
10. V. Jamik: Uber Gitterpunkte und konvex Kurven, Math. Z., 24 (1925) 500-518.
11. R. Kannan and L. Lovasz: Covering minima and lattice point free bod­ies, Annals. Math., 128 (1988) 577-602.
12. L. Kuipers and H. Niederreiter: Uniform Distribution of Sequences, New York, 1974.
13. W. Schmidt: Integral points on surfaces and curves, Monats. Math., 99 (1985) 45-82.