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On the mean value of general k-th Gauss sums
  • ISSN号：1000-341X
  • 期刊名称：Journal of Mathematical Research & Exposition
  • 时间：2011
  • 页码：1009-1014
  • 分类：O156.4[理学—数学;理学—基础数学]
  • 作者机构：[1]宝鸡职业技术学院基础部,陕西宝鸡721013
  • 相关基金：国家自然科学基金资助项目（11071194）; 陕西省教育厅自然科学基金资助项目（09JK432）
  • 相关项目：L-函数的均值及其有关问题
作者： Yuan He|Qunying Liao|
关键词： SMARANDACHE, LCM函数, 加性函数, 均方值, 渐近公式, Smarandache LCM function, additive function, Hybrid mean value, Asymptotic formulae
中文摘要：

利用初等方法及素数分布理论研究Smarandache LCM函数SL（n）与函数F（k,n）混合均值（SLk（n）-F（k,n））2问题,并获得了一个有趣的渐近公式.

英文摘要：

The main purpose of this paper is to study the mean value distribution properties of involving function（SLk（n）-F（k,n））2 of Smarandache LCM function SL（n） and function F（k,n） by means of the elementary methods and the theory of prime distribution.The study also results in a sharper asymptotic formulae.

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