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	Upper bound and formula for class numbers of abelian function fields
	Ma, LR ; Zhang, XK
	2010-05-06 ; 2010-05-06
关键词	Carlitz module cyclotomic function field class number character abelian function field RELATIVE CLASS NUMBER STICKELBERGER IDEALS Multidisciplinary Sciences
中文摘要	For any abelian function field K (i.e. any subfield of a cyclotomic function field L = k (Lambda(P)) over the rational function field k) with conductor being an irreducible polynomial over a finite field of odd characteristic, by studying the Carlitz-module structure and the character group of K, an explicit upper bound and a calculating formula of the relative divisor class number h(-) (K) of K are given. Our calculated results of K develop Rosen's recent results of L.
语种	英语 ; 英语
出版者	TAYLOR & FRANCIS LTD ; ABINGDON ; 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13734]
专题	清华大学
推荐引用方式 GB/T 7714	Ma, LR,Zhang, XK. Upper bound and formula for class numbers of abelian function fields[J],2010, 2010.
APA	Ma, LR,&Zhang, XK.(2010).Upper bound and formula for class numbers of abelian function fields..
MLA	Ma, LR,et al."Upper bound and formula for class numbers of abelian function fields".(2010).

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