Computing with quadratic forms over number fields

@article{Koprowski2018ComputingWQ,
  title={Computing with quadratic forms over number fields},
  author={Przemyslaw Koprowski and A. Czogala},
  journal={J. Symb. Comput.},
  year={2018},
  volume={89},
  pages={129-145}
}
  • Przemyslaw Koprowski, A. Czogala
  • Published 2018
  • Mathematics, Computer Science
  • J. Symb. Comput.
  • This paper presents fundamental algorithms for the computational theory of quadratic forms over number fields. In the first part of the paper, we present algorithms for checking if a given non-degenerate quadratic form over a fixed number field is either isotropic (respectively locally isotropic) or hyperbolic (respectively locally hyperbolic). Next we give a method of computing the dimension of an anisotropic part of a quadratic forms. The second part of the paper is devoted to algorithms… CONTINUE READING
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