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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The representation of a pair of integers by a pair of positive-definite binary quadratic forms


Authors: Kenneth Hardy, Pierre Kaplan and Kenneth S. Williams
Journal: Proc. Amer. Math. Soc. 105 (1989), 847-855
MSC: Primary 11E16; Secondary 11D85
MathSciNet review: 960644
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Abstract: An explicit formula is given for the number of representations of a pair of positive integers by a representative set of inequivalent pairs of integral positive-definite binary quadratic forms with given invariants.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0960644-0
PII: S 0002-9939(1989)0960644-0
Article copyright: © Copyright 1989 American Mathematical Society