Universal quadratic forms over polynomial rings

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	Universal quadratic forms over polynomial rings
	Kim, Myung-Hwan 1; Wang, Yuanhua 2; Fei Xu 3
	2008-09-01
发表期刊	JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
ISSN	0304-9914
卷号	45 期号:5 页码:1311-1322
摘要	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.
关键词	universal forms over polynomial rings the Four conjecture
语种	英语
资助项目	orean Research Foundation[2003-070-C00001] ; NSFC[10325105]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000258937400007
出版者	KOREAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6083
专题	中国科学院数学与系统科学研究院
通讯作者	Kim, Myung-Hwan
作者单位	1.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 2.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100039, Peoples R China
推荐引用方式 GB/T 7714	Kim, Myung-Hwan,Wang, Yuanhua,Fei Xu. Universal quadratic forms over polynomial rings[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,2008,45(5):1311-1322.
APA	Kim, Myung-Hwan,Wang, Yuanhua,&Fei Xu.(2008).Universal quadratic forms over polynomial rings.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,45(5),1311-1322.
MLA	Kim, Myung-Hwan,et al."Universal quadratic forms over polynomial rings".JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 45.5(2008):1311-1322.