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Gitterpunktanzahl im Simplex und Wills’sche Vermutung. (German) Zbl 0377.52004


MSC:

52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
51-04 Software, source code, etc. for problems pertaining to geometry
11H06 Lattices and convex bodies (number-theoretic aspects)
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References:

[1] Betke, U.: Zu einem Abstandsintegral von Hadwiger. Archiv Math.29, 208-209 (1977) · Zbl 0367.52005 · doi:10.1007/BF01220396
[2] Bokowski, J.: Obere Schranken zur Gitterpunktsanzahl konvexer Körper. Diss. TU Berlin 1973
[3] Gould, H. W.: Combinatorial identities. Morgantown: Printing and Binding Company 1972
[4] Hadwiger, H.: Das Wills’sche Funktional. Monatsh. Math.79, 213-221 (1975) · Zbl 0305.52007 · doi:10.1007/BF01304074
[5] Hadwiger, H., Wills, J.M.: Gitterpunktanzahl konvexer Rotationskörper. Math. Ann.208, 221-232 (1974) · Zbl 0271.10034 · doi:10.1007/BF01419583
[6] Hammer, J.: Unsolved problems concerning lattice points. Research Notes in Mathematics 15. London-San Francisco-Melbourne: Pitman 1977 · Zbl 0355.52001
[7] Overhagen, T.: Zur Gitterpunktanzahl konvexer Körper. Diss. TU Berlin 1974 · Zbl 0293.10014
[8] Pólya, G., Szegö, G.: Aufgaben und Lehrsätze aus der Analysis I. Berlin: Springer 1925 · JFM 51.0173.01
[9] Ruben, H.: On the geometrical moments of skew-regular simplices in hyperspherical space; with some applications in geometry and mathematical statistics. Acta Math. (Uppsala)103, 1-23 (1960) · Zbl 0224.50009 · doi:10.1007/BF02546523
[10] Schneider, R.: Krümmungsschwerpunkte konvexer Körper (I). Abh. Math. Sem. Univ. Hamburg37, 112-132 (1972) · Zbl 0229.52005 · doi:10.1007/BF02993906
[11] Wills, J.M.: Zur Gitterpunktanzahl konvexer Mengen. Elem. Math.28, 57-63 (1973) · Zbl 0258.52013
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