The 8-universality Criterion is Unique

Mathematics – Number Theory

Scientific paper

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4 pages

Scientific paper

Using the methods developed for the proof that the 2-universality criterion
is unique, we partially characterize criteria for the n-universality of
positive-definite integer-matrix quadratic forms. We then obtain the uniqueness
of Oh's 8-universality criterion as an application of our characterization
results.

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