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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quadratic forms with cube-free discriminant
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by Donald G. James
Proc. Amer. Math. Soc. 110 (1990), 45-52
DOI: https://doi.org/10.1090/S0002-9939-1990-1027095-2

Abstract:

Formulas are given for the number of genera of ${\mathbf {Z}}$-lattices with rank $n \geq 3$, signature $s$, and cube-free discriminant $\Delta$. The results are applied to study classification and orthogonal splittings in the indefinite case.
References
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 45-52
  • MSC: Primary 11E12
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1027095-2
  • MathSciNet review: 1027095