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Transactions of the American Mathematical Society

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The representation of binary quadratic forms by positive definite quaternary quadratic forms


Author: A. G. Earnest
Journal: Trans. Amer. Math. Soc. 345 (1994), 853-863
MSC: Primary 11E12; Secondary 11E20
MathSciNet review: 1264145
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Abstract: A quadratic $ \mathbb{Z}$-lattice L of rank n is denned to be k-regular for a positive integer $ k \leq n$ if L globally represents all quadratic $ \mathbb{Z}$-lattices of rank k which are represented everywhere locally by L. It is shown that there exist only finitely many isometry classes of primitive positive definite quadratic $ \mathbb{Z}$-lattices of rank 4 which are 2-regular.


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DOI: https://doi.org/10.1090/S0002-9947-1994-1264145-0
Article copyright: © Copyright 1994 American Mathematical Society