Corpus ID: 50758095

Minimal S-Universality Criteria May Vary in Size

@article{Elkies2013MinimalSC,
  title={Minimal S-Universality Criteria May Vary in Size},
  author={N. Elkies and D. Kane and S. Kominers},
  journal={arXiv: Number Theory},
  year={2013}
}
  • N. Elkies, D. Kane, S. Kominers
  • Published 2013
  • Mathematics
  • arXiv: Number Theory
  • In this note, we give simple examples of sets S of quadratic forms that have minimal S-universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh in the negative. 
    2 Citations
    Minimal universality criterion sets on the representations of quadratic forms

    References

    SHOWING 1-10 OF 12 REFERENCES
    Uniqueness of the 2-universality Criterion
    • 3
    • PDF
    The 8-universality Criterion is Unique
    • 2
    • PDF
    Recent Developments on Universal Forms
    • 15
    • Highly Influential
    • PDF
    Universal ℤ-lattices of minimal rank
    • 11
    • Highly Influential
    • PDF
    E-mail address: dankane@math.harvard.edu, aladkeenin@gmail.com Department of Economics
    • E-mail address: dankane@math.harvard.edu, aladkeenin@gmail.com Department of Economics
    E-mail address: kominers@fas.harvard.edu, skominers@gmail
    • E-mail address: kominers@fas.harvard.edu, skominers@gmail
    On the Conway-Schneeberger fifteen theorem
    • Quadratic forms and their applications: Proceedings of the Conference on Quadratic Forms and Their Applications
    • 1999
    On the Conway-Schneeberger fifteen theorem. Quadratic forms and their applications
    • Proceedings of the Conference on Quadratic Forms and Their Applications, July
    • 1999