k次补数数列的均值研究

Mean Value Research of k-power Complement Sequence

应用解析方法探讨了Ak(n),n为任意正整数,Ak(n)为n的k次幂补数的渐近性质,得到了一个有趣的渐近公式,彻底解决了F.Smarandache教授在《Only Problems,Not Solution》一书(Xiquan Publishing House,1993)中提出的第27个问题.

Let n be positive integer,Ak（n） be a k-power complement of n.The main purpose of this paper is to study the asymptotic of Ak（n） by using complex analytic integral methods.An interesting asymptotic formula is given.And the 27th problem raised by Professor F.Smarandache in Only Problems,Not Solution（Xiquan Publishing House,1993） is solved.