• J. W. S. Cassels
Part of the Classics in Mathematics book series (volume 99)


In investigating the values taken by an algebraic form fx) for integer values of the variables it is often useful to substitute for f a form equivalent to it (in the sense of Chapter I, § 4) which bears a special relation to the problem under consideration. This process is independent of the geometrical notions introduced by MINKOWSKI and depends only on the properties of bases of lattices developed in Chapter I. Indeed only the lattice Λ0 of integer vectors comes into consideration.


Quadratic Form Integral Vector Integer Vector Complex Cube Successive Minimum 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • J. W. S. Cassels
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeUK

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