Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-25T12:29:22.160Z Has data issue: false hasContentIssue false
  • English
  • Français

Rational equivalence of primitive integral binary quadratic forms

Published online by Cambridge University Press:  14 November 2011

A. Arenas
A. Arenas
Affiliation:
Departament d'Àlgebra i Geometria, Facultat de Matemàtiques, Gran Via 585, 08007 Barcelona, Spain
Get access Rights & Permissions [Opens in a new window]

Synopsis

We compute the number of ℚ-classes of primitive integral binary quadratic forms of any discriminant and characterise when it coincides with the number of genera.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 157 - 160
Copyright
Copyright © Royal Society of Edinburgh 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Arenas, A.. On some equivalences of positive definite binary quadratic forms. Proc. Roy. Soc. Edinburgh Sect. A 113 (1989), 211–213.CrossRefGoogle Scholar
2Cassels, J. W. S.. Rational Quadratic Forms (London: Academic Press, 1978).Google Scholar
3Gauss, C. F.. Disquisitiones Arithmeticae (Lipsiae, 1801. English translation: Clarke, Arthur A., Berlin: Springer, 1986).Google Scholar
4Gross, B., Kohnen, W. and Zagier, D.. Heegner Points and Derivatives of L-Series II. Math. Ann. 278 (1987), 497–562.CrossRefGoogle Scholar
5Serre, J-P.. A course in arithmetic (Berlin: Springer, 1973).CrossRefGoogle Scholar