ArticleOriginal scientific text

Title

Small zeros of quadratic forms over algebraic function fields

Authors 1

Affiliations

  1. Fachbereich Mathematik, Universität Mainz, 55099 Mainz, Germany

Bibliography

  1. J. W. S. Cassels, Bounds for the least solutions of homogeneous quadratic equations, Proc. Cambridge Philos. Soc. 51 (1955), 262-264. Addendum, Proc. Cambridge Philos. Soc. 52 (1956), 604.
  2. J. W. S. Cassels, On the representation of rational functions as sums of squares, Acta Arith. 9 (1964), 79-82.
  3. J. W. S. Cassels, Rational Quadratic Forms, London Math. Soc. Monographs 13, Academic Press, London, 1978.
  4. A. Pfister, Quadratic Forms with Applications to Algebraic Geometry and Topology, London Math. Soc. Lecture Note Ser. 217, Cambridge Univ. Press, 1995.
  5. A. Prestel, On the size of zeros of quadratic forms over rational function fields, J. Reine Angew. Math. 378 (1987), 101-112.
  6. S. Raghavan, Bounds for minimal solutions of Diophantine equations, Nachr. Akad. Wiss. Göttingen 1975 (9), 109-114.
  7. P. Roquette, Analytic theory of elliptic functions over local fields, Hamburg. Math. Einzelschr. 1, Vandenhoeck & Ruprecht, Göttingen, 1970.
  8. H. P. Schlickewei and W. M. Schmidt, Quadratic forms which have only large zeros, Monatsh. Math. 105 (1988), 295-311.
Pages:
221-238
Main language of publication
English
Received
1996-07-03
Published
1997
Exact and natural sciences