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A lower bound for the volume of strictly convex bodies with many boundary lattice points. (English) Zbl 0118.28301


Keywords:

number theory
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[1] 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. · Zbl 0113.03702
[2] T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Chelsea, New York, 1948. · JFM 60.0673.01
[3] J. W. S. Cassels, An introduction to the geometry of numbers, Springer-Verlag, Berlin, 1959. · Zbl 0086.26203
[4] H. G. Eggleston, Convexity, Cambridge Tracts in Mathematics and Mathematical Physics, No. 47, Cambridge University Press, New York, 1958. · Zbl 0086.15302
[5] G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. · Zbl 0047.05302
[6] K. Mahler, The geometry of numbers, Duplicated lectures, Boulder, Colorado, 1950. · Zbl 0041.01203
[7] D. M. Y. Sommerville, An introduction to the geometry of \? dimensions, Dover Publications, Inc., New York, 1958. · Zbl 0086.35804
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