L-functions for symmetric products of Kloosterman sums

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	L-functions for symmetric products of Kloosterman sums
	Fu, L ; Wan, DQ
	2005-12-01
发表期刊	JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN	0075-4102
卷号	589 页码:79-103
摘要	The classical Kloosterman sums give rise to a Galois representation of the function field unramified outside 0 and infinity. We study the local monodromy of this representation at infinity using l-adic method based on the work of Deligne and Katz. As an application, we determine the degrees and the bad factors of the L-functions of the symmetric products of the above representation. Our results generalize some results of Robba obtained through p-adic method.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000235082000004
出版者	WALTER DE GRUYTER & CO
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1860
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, L
作者单位	1.Chinese Acad Sci, Inst Math, Beijing, Peoples R China 2.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
推荐引用方式 GB/T 7714	Fu, L,Wan, DQ. L-functions for symmetric products of Kloosterman sums[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2005,589:79-103.
APA	Fu, L,&Wan, DQ.(2005).L-functions for symmetric products of Kloosterman sums.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,589,79-103.
MLA	Fu, L,et al."L-functions for symmetric products of Kloosterman sums".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 589(2005):79-103.