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A bound, in terms of its volume, for the number of vertices of a convex polyhedron when the vertices have integer coordinates

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Functional Analysis and Its Applications Aims and scope

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Literature Cited

  1. V. I. Arnol'd, "The statistic of convex polyhedrons with vertices having integer-valued coordinates," Funkts. Anal. Prilozhen.,14, No. 1, 1–3 (1980).

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  2. M. de Guzmán, "Differentiation of integrals," Lect. Notes Math.,481, Springer-Verlag, Berlin—New York (1975).

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Authors
  1. S. V. Konyagin
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  2. K. A. Sevast'yanov
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Additional information

Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 18, No. 1, pp. 13–15, January–March, 1984.

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Konyagin, S.V., Sevast'yanov, K.A. A bound, in terms of its volume, for the number of vertices of a convex polyhedron when the vertices have integer coordinates. Funct Anal Its Appl 18, 11–13 (1984). https://doi.org/10.1007/BF01076356

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  • DOI: https://doi.org/10.1007/BF01076356

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