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On the mean value of divisor function for k-power additive complements function
Author(s): 
Pages: 347-350
Year: Issue:  3
Journal: PURE AND APPLIED MATHEMATICS

Keyword:  补函数因子函数性质均值公式;
Abstract: 对于任意正整数n,如果m+n是完全k次方数,称最小非负整数m是n的k次加法补.为了研究m的性质及变化规律,这里运用初等数论和分析数论的方法,得到了d(n+ak(n))的一个有趣的均值公式,从而得到了更一般的加法补函数的计算公式,完善了加法补函数在数论中的研究和应用.
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