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Transactions of the American Mathematical Society

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A lower bound for the volume of strictly convex bodies with many boundary lattice points


Author: George E. Andrews
Journal: Trans. Amer. Math. Soc. 106 (1963), 270-279
MSC: Primary 10.25; Secondary 52.40
DOI: https://doi.org/10.1090/S0002-9947-1963-0143105-7
MathSciNet review: 0143105
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  • [1] G. E. Andrews, An asymptotic expression for the number of solutions of a general class of Diophantine equations, Trans. Amer. Math. Soc. 99 (1961), 272-277. MR 0120222 (22:10979)
  • [2] T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Chelsea, New York, 1948.
  • [3] J. W. S. Cassels, An introduction to the geometry of numbers, Springer-Verlag, Berlin, 1959.
  • [4] H. G. Eggleston, Convexity, Cambridge Tracts in Mathematics and Mathematical Physics, No. 47, Cambridge Univ. Press, Cambridge, 1958. MR 0124813 (23:A2123)
  • [5] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, Cambridge, 1952. MR 0046395 (13:727e)
  • [6] K. Mahler, The geometry of numbers, Duplicated lectures, Boulder, Colorado, 1950.
  • [7] D. M. Y. Sommerville, An introduction to the geometry of n dimensions, Dover, New York, 1958. MR 0100239 (20:6672)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1963-0143105-7
Article copyright: © Copyright 1963 American Mathematical Society

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