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The theory of hermite-Minkowski reduction of positive definite quadratic forms

  • Published:1976-12 Issue:6 Volume:6 Page:651-671
  • ISSN:0090-4104
  • Container-title:Journal of Soviet Mathematics
  • language:en
  • Short-container-title:J Math Sci

Author:

Ryshkov S. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Reference10 articles.

1. H. Minkowski, ?Diskontinuitätsbereich für arithmetische Aequivalenz,? Ges. Abh.,2, 53?103 (1911).

2. B. N. Delone, ?The geometry of positive definite quadratic forms,? Usp. Matem. Nauk, No. 3, 16?62 (1937); No. 4, 102?164 (1938).

3. B. L. van der Waerden, ?Die Reduktionstheorie der quadratischen Formen,? Acta Mathem.,96, 265?309 (1956);98, 3?4 (1957).

4. B. A. Venkov, ?The reduction of positive definite quadratic forms,? Izv. Akad. Nauk SSSR Ser. Matem.,4, 37?52 (1940).

5. G. F. Voronoi, ?Some properties of positive definite perfect quadratic forms,? in: Collected Works [in Russian], Vol. 2 (1952), pp. 171?238.

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