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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
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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

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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