On the order of the high-dimensional Cochrane sum and its mean value☆

On the order of the high-dimensional Cochrane sum and its mean value☆
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DOI:
10.1016/j.jnt.2005.05.005
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发表时间:
2006-03
影响因子:
0.7
通讯作者:
Xu Zhe-feng;Zhang Wenpeng
Xu Zhe-feng;Zhang Wenpeng
中科院分区:
数学3区
文献类型:
--
作者:
Xu Zhe-feng;Zhang Wenpeng

文献摘要

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利用超Kloosterman和的性质和Dirichlet L-函数的中值定理,研究了高维科克伦和,给出了其阶的精确估计.
The main purpose of this paper is to study the high-dimensional Cochrane sum and give a sharp estimate of its order by using properties of hyper-Kloosterman sum and the mean value theorems of Dirichlet L-functions.