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On the Reinhardt-Mahler theorem


Author: Rajinder Jeet Hans
Journal: Proc. Amer. Math. Soc. 20 (1969), 391-396
MSC: Primary 10.25; Secondary 52.00
DOI: https://doi.org/10.1090/S0002-9939-1969-0238766-9
MathSciNet review: 0238766
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References [Enhancements On Off] (What's this?)

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  • [2] H. Hancock, Development of Minkowski geometry of numbers, Macmillan, New York, 1939.
  • [3] K. Mahler, On lattice points in $ n$-dimensional star bodies (I): Existence theorems, Proc. Roy. Soc. London A (187) (1946), 151-187. MR 0017753 (8:195f)
  • [4] -, On the minimum determinant and the circumscribed hexagon of a convex domain, Indag. Math. 9 (1947), 326-337.
  • [5] H. Minkowski, Gesammelte Abhandlungen. II, Leipzig and Berlin.
  • [6] K. Ollernshaw, Irreducible convex bodies, Oxford Quart. J. Math. (2) 4 (1953), 293-302. MR 0061135 (15:780a)
  • [7] K. Reinhardt, Über die dichteste gitterförmige Lagerung kongruenter Bereiche in der Eben usw., Abh. Math. Sem. Univ. Hansische 10 (1934), 213-231.
  • [8] J. V. Whitworth, On the densest packing of sections of a cube, Ann. Mat. Pura Appl. (9) 27 (1948), 29-37. MR 0030549 (11:12d)

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DOI: https://doi.org/10.1090/S0002-9939-1969-0238766-9
Article copyright: © Copyright 1969 American Mathematical Society

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