A lower bound for the volume of strictly convex bodies with many boundary lattice points
HTML articles powered by AMS MathViewer
- by George E. Andrews
- Trans. Amer. Math. Soc. 106 (1963), 270-279
- DOI: https://doi.org/10.1090/S0002-9947-1963-0143105-7
- PDF | Request permission
References
- George 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 120222, DOI 10.1090/S0002-9947-1961-0120222-7 T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Chelsea, New York, 1948. J. W. S. Cassels, An introduction to the geometry of numbers, Springer-Verlag, Berlin, 1959.
- H. G. Eggleston, Convexity, Cambridge Tracts in Mathematics and Mathematical Physics, No. 47, Cambridge University Press, New York, 1958. MR 0124813
- G. H. Hardy, J. E. Littlewood, and G. PĂłlya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. MR 0046395 K. Mahler, The geometry of numbers, Duplicated lectures, Boulder, Colorado, 1950.
- D. M. Y. Sommerville, An introduction to the geometry of $n$ dimensions, Dover Publications, Inc., New York, 1958. MR 0100239
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- 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