On the Reinhardt-Mahler theorem
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- by Rajinder Jeet Hans PDF
- Proc. Amer. Math. Soc. 20 (1969), 391-396 Request permission
References
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J. G. van der Corput and H. Davenport, On Minkowski’s fundamental theorem in the geometry of numbers, Indag. Math. 8 (1946), 409-415.
H. Hancock, Development of Minkowski geometry of numbers, Macmillan, New York, 1939.
- K. Mahler, On lattice points in $n$-dimensional star bodies. I. Existence theorems, Proc. Roy. Soc. London Ser. A 187 (1946), 151–187. MR 17753, DOI 10.1098/rspa.1946.0072 —, On the minimum determinant and the circumscribed hexagon of a convex domain, Indag. Math. 9 (1947), 326-337. H. Minkowski, Gesammelte Abhandlungen. II, Leipzig and Berlin.
- Kathleen Ollerenshaw, Irreducible convex bodies, Quart. J. Math. Oxford Ser. (2) 4 (1953), 293–302. MR 61135, DOI 10.1093/qmath/4.1.293 K. Reinhardt, Über die dichteste gitterförmige Lagerung kongruenter Bereiche in der Eben usw., Abh. Math. Sem. Univ. Hansische 10 (1934), 213-231.
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Additional Information
- © Copyright 1969 American Mathematical Society
- 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