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Book Review

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Book Information:

Author: J. H. Conway and N. J. A. Sloane
Title: Sphere packings, lattices and groups, second ed.
Additional book information: Grundlehren der Mathematischen Wissenschaften, bd.\ 290, Springer-Verlag, New York and Berlin, 1993, xliii+679 pp., US$69.00. ISBN 0-387-97912-3 and ISBN 3-540-97912-3.

References [Enhancements On Off] (What's this?)

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  • [4] L. Fejes Toth, Lagerungen in der Ebene, auf der Kugel und in Raum, Grundlehren Math. Wiss., bd. 65, Springer, Berlin, 1953.
  • [5] -, Regular figures, Pergamon, Oxford, 1964.
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  • [8] E. Hlawka, Zur Geometrie der Zahlen, Math. Z. 49 (1944), 285-312. MR 0009782 (5:201c)
  • [9] G. A. Kabatiansky and V. I. Levenshtein, Bounds for packings on a sphere and in space, Problems of Information Transmission 14 (1978), 1-17.
  • [10] J. Kepler, The six-cornered snowflake, Translated from the Latin booklet of 1611 by Colin Hardie, Clarendon Press, Oxford, 1966.
  • [11] H. Minkowski, Diphantische approximationen, Teubner, Leipzig, 1907.
  • [12] -, Geometrie der Zahlen, Teubner, Leipzig, 1910.
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  • [14] C. A. Rogers, Existence theorems in the geometry of numbers, Ann. of Math. (2) 48 (1947), 994-1002. MR 0022863 (9:270h)
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  • [16] C. L. Siegel, A mean value theorem in the geometry of numbers, Ann. of Math. (2) 46 (1945), 340-347. MR 0012093 (6:257b)

Review Information:

Reviewer: C. A. Rogers
Journal: Bull. Amer. Math. Soc. 29 (1993), 306-314
DOI: https://doi.org/10.1090/S0273-0979-1993-00435-X
American Mathematical Society