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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Even quadratic forms with cube-free discriminant
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by Donald G. James PDF
Proc. Amer. Math. Soc. 106 (1989), 73-79 Request permission

Abstract:

A formula is given for the number of genera of even lattices with rank $n$, signature $s$, and discriminant ${( - 1)^{(n - s)/2}}{d^2}D$, when $dD$ is odd and square-free. In the indefinite case, an orthogonal splitting of these lattices into simple components is also determined.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 73-79
  • MSC: Primary 11E12
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0955998-5
  • MathSciNet review: 955998