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Genera of rationally equivalent integral binary quadratic forms

Published online by Cambridge University Press:  14 November 2011

A. G. Earnest
A. G. Earnest
Affiliation:
Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, Illinois 62901-4408, U.S.A.
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Synopsis

A formula is given for the number of genera of primitive integral binary quadratic forms of discriminant D which lie in a rational equivalence class. In particular, necessary and sufficient conditions for the genus and rational equivalence class to coincide are given in terms of the prime factorisation of D.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 27 - 30
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

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