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http://dx.doi.org/10.4134/JKMS.2008.45.5.1311

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)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.5, 2008 , pp. 1311-1322 More about this Journal
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.
Keywords
universal forms over polynomial rings; the Four conjecture;
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