The defects of admissible balls and octahedra in a lattice, and systems of generic representatives

Sbornik Mathematics

Volumn 189, Issue 5-6, 1998, Pages 931-954

  Raigorodskii A M ^a  

^a NONE

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EID: 0032220826     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm1998v189n06abeh000328     Document Type: Article

References (10)

1. N. G. Moshchevitin, "The defect of an admissible octahedron in a lattice", Mat. Zametki 58 (1995), 558-568; English transl. in Math. Notes 58 (1995).
2. N. G. Moshchevitin, "The defect of an admissible octahedron in a lattice", Mat. Zametki 58 (1995), 558-568; English transl. in Math. Notes 58 (1995).
3. N. N. Kuzyurin, "Asymptotic investigation of the problem of covering", Problemy Kibernet. 1980, no. 37, 19-56. (Russian)
4. P. M. Gruber and C. G. Lekkerkerker, Geometry of numbers, North-Holland, Amsterdam 1987.
5. N. M. Korobov, Number-theoretic methods in approximate analysis, Fizmatlit, Moscow 1963. (Russian)
6. U. Wessels, "Die Sätze von White und Mordell über kritische Gitter von Polytopen in die Dimensionen 4 und 5", Diplomarbeit, Mathematisches Institut der Ruhr-Universität Bochum, 1989.
7. S. S. Ryshkov, "On the problem of the determination of the perfect quadratic forms in many variables", Trudy Mat. Inst. Steklov. 142 (1976), 215-239; English transl. in Proc. Steklov Inst. Math. 142 (1979).
8. S. S. Ryshkov, "On the problem of the determination of the perfect quadratic forms in many variables", Trudy Mat. Inst. Steklov. 142 (1976), 215-239; English transl. in Proc. Steklov Inst. Math. 142 (1979).
9. N. V. Zakharova, "Centerings of 8-dimensional lattices that preserve a frame of successive minima", Trudy Mat. Inst. Steklov. 152 (1980), 97-123; English transl. in Proc. Steklov Inst. Math. 152 (1982).
10. N. V. Zakharova, "Centerings of 8-dimensional lattices that preserve a frame of successive minima", Trudy Mat. Inst. Steklov. 152 (1980), 97-123; English transl. in Proc. Steklov Inst. Math. 152 (1982).