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Lecture II

In: Lectures on the Geometry of Numbers

Author

Listed:
  • Carl Ludwig Siegel
  • Komaravolu Chandrasekharan

    (ETH Zürich, Mathematik)

Abstract

In this section and in the later ones we shall discuss the application of the theory of convex bodies to the theory of numbers. The connexion with the theory of numbers will be found in the study of points all of whose coordinates are integers. These points will be called integral points or g-points. The set of all g-points will be called a lattice. [See also § 5.] The following theorem about lattice points and convex bodies was proved by Minkowski.

Suggested Citation

  • Carl Ludwig Siegel & Komaravolu Chandrasekharan, 1989. "Lecture II," Springer Books, in: Lectures on the Geometry of Numbers, pages 12-24, Springer.
  • Handle: RePEc:spr:sprchp:978-3-662-08287-4_2
    DOI: 10.1007/978-3-662-08287-4_2
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