논문KCI 등재
Oh's 8-Universality Criterion is Unique
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초록
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.
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.
참고문헌 (12)
- M. Bhargava, "Quadratic forms and their applications", pp.27~37 (2000), Amer. Math. Soc
- W. K. Chan, "On the exceptional sets of integral quadratic forms", Int. Math. Res. Notices[DOI]
- J. H. Conway, "Quadratic forms and their applications" (2000), Amer. Math. Soc
- J. H. Conway, "Low-dimensional lattices I. Quadratic forms of small determinant", Proc. Roy. Soc. London Ser. A, 418(1854), pp.17~41 (1988)
- N. D. Elkies, "Minimal S-universality criteria may vary in size", J. Th´eor. Nombres Bordeaux, 25(3), pp.557~563 (2013)
- B. M. Kim, "Integral quadratic forms and lattices" (1999), Amer. Math. Soc
- B. M. Kim, "A finiteness theorem for representability of quadratic forms by forms", J. Reine Angew. Math, 581, pp.23~30 (2005)
- K. Kim, "Minimal universality criterion sets on the representations of quadratic forms", preprint, arXiv:2009.04050, ~ (2020)
- S. D. Kominers, "Uniqueness of the 2-universality criterion", Note Mat, 28(2), pp.203~206 (2008)
- J. Lee, "Minimal S-universality criterion sets", Ph.D., pp.2020
- B. -K. Oh, "Universal Z-lattices of minimal rank", Proc. Amer. Math. Soc, 128(3), pp.683~689 (2000)
- O. T. O’Meara, "Introduction to quadratic forms" (2000), Springer-Verlag
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