Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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UNIVERSAL QUADRATIC FORMS OVER POLYNOMIAL RINGS

  • Kim, Myung-Hwan (Department of Mathematical Sciences Seoul National University) ;
  • Wang, Yuanhua (Graudate School Chinese Academy of Sciences) ;
  • Xu, Fei (Academy of Mathematics and System Science Chinese Academy of Sciences)
  • Published : 2008.09.30
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Abstract

The Fifteen Theorem proved by Conway and Schneeberger is a criterion for positive definite quadratic forms over the rational integer ring to be universal. In this paper, we give a proof of an analogy of the Fifteen Theorem for definite quadratic forms over polynomial rings, which is known as the Four Conjecture proposed by Gerstein.

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References

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Cited by

  1. UNIVERSAL QUATERNARY LATTICES OVER F q[x] vol.28, pp.5, 2012, https://doi.org/10.7858/eamj.2012.046