M-POWER

We study the distribution properties of the m-power residues and k-power free numbers, and obtain some interesting asymptotic formulae;

本文研究了无k次幂因子数及其均值、以及m次剩余数与无k次幂因子数的混合均值，给出了关于它们的一些渐近公式；

The asymptotic properties of the m-power residues numbers were studied. And two interesting asymptotic formulas were obtained by using the estimates of Riemann-zeta function with analytic methods.

利用Riemann-zeta函数的估计及其解析方法研究了m次剩余数的一些渐近性质，得到了两个有趣的渐近公式。

With the relationship of the first chebyshev polynomials and Locus number, the sum of products of Lucas number m-power is obtained with some elementary methods.

根据第一类Chebyshev多项式与Lucas数的关系，用初等方法得到了关于Lucas数m次幂的积和式。

Sum of products of Lucas number of m-power

Lucas数m次幂的积和式