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Title

Effective version of Tartakowsky's Theorem

Authors 1, 2

Affiliations

  1. Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, Ohio 43210-1174, U.S.A.
  2. Instituto de Matematica y Fisica, Universidad de Talca, Avenida Lircay s/n, Talca, Chile

Bibliography

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  2. [BH] J. W. Benham and J. S. Hsia, Spinor equivalence of quadratic forms, J. Number Theory 17 (1983), 337-342.
  3. [C] J. W. S. Cassels, Rational Quadratic Forms, Academic Press, 1978.
  4. [HKK] J. S. Hsia, Y. Kitaoka and M. Kneser, Representations by positive definite quadratic forms, J. Reine Angew. Math. 301 (1978), 132-141.
  5. [Hu] P. Humbert, Réduction de formes quadratiques dans un corps algébrique fini, Comment. Math. Helv. 23 (1949), 50-63.
  6. [Ki1] Y. Kitaoka, Siegel Modular Forms and Representation by Quadratic Forms, Tata Lecture Notes, Springer, 1986.
  7. [Ki2] Y. Kitaoka, A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables, Acta Arith. 54 (1990), 317-322.
  8. [Ki3] Y. Kitaoka, Arithmetic of Quadratic Forms, Cambridge Univ. Press, 1993.
  9. [Kn] M. Kneser, Quadratische Formen, Göttingen Lecture Notes, 1973/74.
  10. [N] G. L. Nipp, Quaternary Quadratic Forms - Computer Generated Tables, Springer, 1991.
  11. [OM1] O. T. O'Meara, The integral representations of quadratic forms over local rings, Amer. J. Math. 86 (1958), 843-878.
  12. [OM2] O. T. O'Meara, Introduction to Quadratic Forms, Springer, 1973.
  13. [T] W. Tartakowsky, Die Gesamtheit der Zahlen, die durch eine positive quadratische Form F(x₁,...,xs) (s ≥ 4) darstellbar sind, Izv. Akad. Nauk SSSR 7 (1929), 111-122, 165-195.
  14. [W] G. L. Watson, Quadratic diophantine equations, Philos. Trans. Roy. Soc. London Ser. A 253 (1960), 227-254.
Acta Arithmetica
1999/89/3
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Pages:
235-253
Main language of publication
English
Received
1998-08-11
Published
1999
Exact and natural sciences