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Uniqueness of the 2-universality criterion. (English) Zbl 1219.11061

Summary: Kim, Kim, and Oh gave a minimal criterion for the 2-universality of positive definite integer-matrix quadratic forms. We show that this 2-universality criterion is unique in the sense of the uniqueness of the Conway-Schneeberger Fifteen Theorem.

MSC:

11E20 General ternary and quaternary quadratic forms; forms of more than two variables
11E25 Sums of squares and representations by other particular quadratic forms
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