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.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
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)
关键词
N进制
倒数平方和函数
均值
base n
function of digital countdown square sum
mean value
