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The squareroot of an ambiguous form in the principal genus

Published online by Cambridge University Press:  20 January 2009

Kenneth Hardy  and
Kenneth S. Williams
Kenneth Hardy
Affiliation:
Department of Mathematics and StatisticsCarleton UniversityOttawa, OntarioCanadaK1S 5B6
Kenneth S. Williams
Affiliation:
Department of Mathematics and StatisticsCarleton UniversityOttawa, OntarioCanadaK1S 5B6
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Abstract

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A squareroot of an ambiguous form in the principal genus of primitive integral binary quadratic forms of fixed discriminant is given explicitly in terms of a solution of a certain Legendre equation.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 1 , February 1993 , pp. 145 - 150
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

REFERENCES

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4.Williams, Kenneth S., On the size of a solution of Legendre's equation, Utilitas Math. 34 (1988), 65–72.Google Scholar