Low-dimensional lattices. I. Quadratic forms of small determinant-Reference-Cited by-同舟云学术

Low-dimensional lattices. I. Quadratic forms of small determinant

Published:1988-07-08 Issue:1854 Volume:418 Page:17-41
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

In this paper, the first of a series dealing with low-dimensional lattices and their applications, we classify positive-definite integral quadratic forms of determinant d ≼ 25 in dimensions up to a limit which ranges from 18 (for d = 1) to (for d = 25).

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1988.0072

Reference20 articles.

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3. Borcherds R. E. 1988 The 24-dimensional odd unim odular lattices. In Sphere-packings lattices and groups (J. H. Conway & N. J. A. Sloane) ch. 17. New York: Springer-Verlag.

4. Cassels J. W. S. 1978 Rational quadratic forms. New York: Academic Press.

5. On the enumeration of lattices of determinant one

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