Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Oh's 8-Universality Criterion is Unique

  • Kominers, Scott Duke (Harvard Business School, Department of Economics, and Center of Mathematical Sciences and Applications, Harvard University)
  • Received : 2020.06.08
  • Accepted : 2020.11.23
  • Published : 2021.09.30
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Abstract

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 [11] as a corollary.

Keywords

Acknowledgement

The author is grateful to Pablo Azar, Noam D. Elkies, Andrea J. Hawksley, Sonia Jaffe, Paul M. Kominers, and especially Ravi Jagadeesan for helpful comments and suggestions, and particularly thanks an anonymous referee for pointing out a problem with the original form of Proposition 3.2.

References

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