n进制中非零数字倒数平方和函数均值  

Average Computation of the Base n Digital Countdown Square Sum Function

作　　者：杨倩丽[1] 行敏[1] 

机构地区：[1]渭南师范学院数学与信息科学系,陕西渭南714000

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2010年第3期226-228,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(SJ08A22)

摘　　要：针对美籍罗马尼亚著名数论专家Florentin Samarandache在Only Problems,not Solutions中提出的数字之和函数的性质问题,研究了非零数字倒数平方和函数均值问题.通过猜想、数学归纳和推理论证等方法,得出在一个正整数的n进制表示中,非零数字倒数平方和函数均值的精确计算公式,并给予证明.In Only Problems, not Solutions, the American expert of number theory Florentin Samarandache proposed the function sequence of digital sum. In this paper,the digital countdown square sum function is studied. A accurate calculation formula of the non-zero digital countdown square sum function in the positive integer with base n is given by using the recursion, conjecture and induction method. The mean value of non-zero digital countdown square sum function is also obtained.

关 键 词：N进制 倒数平方和函数 均值 

分 类 号：O156.4[理学—数学]