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A translation theorem in the nonhomogeneous Minkowski problem

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Abstract

One obtains a new inequality between the homogeneous and the nonhomogeneous minima of a lattice.

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Literature cited

  1. K. Bakiev, A. S. Pen, and B. F. Skubenko, “On an upper bound of the product of linear nonhomogeneous forms,” Mat. Zametki,23, No. 6, 789–796 (1978).

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  2. N. S. Akhmedov, “On the representation of square matrices in the form of a product of a diagonal, an orthogonal, a triangular, and an integral unimodular matrix (in connection with Minkowski's nonhomogeneous conjecture),” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,67, 86–94 (1977).

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Authors
  1. B. F. Skubenko
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  2. K. Bakiev
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Additional information

The authors dedicate this paper to A. I. Vinogradov on the occasion of his 50th birthday.

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 119–124, 1979.

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Skubenko, B.F., Bakiev, K. A translation theorem in the nonhomogeneous Minkowski problem. J Math Sci 17, 2162–2165 (1981). https://doi.org/10.1007/BF01567594

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  • DOI: https://doi.org/10.1007/BF01567594

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