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On the DOTU-Factorization Problem in Dimension Four

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Abstract.

 We prove that any basis of a non-degenerate 4-dimensional lattice with sufficiently small (positive) homogeneous minimum can be represented in the form DOTU. This is of interest in connection with Minkowski’s conjecture about the product of inhomogeneous linear forms.

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Authors and Affiliations

  1. Samarkand State University, Samarkand, Uzbekistan, , , , , , UZ

    H. N. Narzullaev

  2. Technische Universität Wien, Austria, , , , , , AT

    G. Ramharter

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  1. H. N. Narzullaev
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  2. G. Ramharter
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Received 23 September 2001

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ID="a" Dedicated to Prof. Edmund Hlawka on the occasion of his 85th birthday

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Narzullaev, H., Ramharter, G. On the DOTU-Factorization Problem in Dimension Four. Monatsh. Math. 137, 213–226 (2002). https://doi.org/10.1007/s006050200051

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  • DOI: https://doi.org/10.1007/s006050200051

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