二进制中数字之和函数及其均值估计

The function of digits sum in the binary and its means estimation

通过猜想、数学归纳和推理论证等方法,研究了数字之和函数的均值性质,给出了二进制中数字之和函数任意m次均值(m∈N*)的一个估计.

The mean value property of digital sum function was studied.An estimation of the arbitrary m-th power mean value of digital sum function in the binary was given by using the recursion,conjecture and induction method.