文章基本信息

标题：On the fourth power mean of the general k th Kloosterman sums
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作者：Xiaoyan Guo ; Guohua Geng ; Xiaowei Pan 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：103
DOI：10.1186/1687-1847-2014-103
语种：English
出版社：Hindawi Publishing Corporation
摘要：Let q > 2 be an integer, and let χ be a Dirichlet character modulo q. For integers m, n and k, the general k th Kloosterman sum S ( m , n , k , χ ; q ) is defined by S ( m , n , k , χ ; q ) = ∑ ′ a = 1 q χ ( a ) e ( m a k + n a ¯ k q ) , where ∑′ denotes the summation over all a with ( a , q ) = 1 , e ( y ) = e 2 π i y , and a ¯ is the inverse of a modulo q such that a a ¯ ≡ 1 mod q and 1 ≤ a ¯ ≤ q . In this paper we further study the fourth power mean ∑ χ mod q ∑ m = 1 q S ( m , n , k , χ ; q ) 4 , and we give some identities. MSC:11F20.
关键词：general k th Kloosterman sum ; fourth power mean ; identity