【摘要】 目的研究一个包含无k次方幂函数的方程问题。方法利用初等方法。结果给出一个包含无k次方幂函数方程的所有正整数解;证明这一方程共有2k-1个正整数解。结论发展了F.Smarandache教授在Only Problems,Not Solution一书(Xiquan Publishing House,1993)中涉及的相关研究工作。更多还原

【Abstract】 Aim To study an equation involving the k-power free part of n.Methods Using the elementary methods.Results All the positive integer solutions of this equation are given.It is provedthat this equation has 2k-1 solutions.Conclusion Some related studies were improved,which professor F.Smarandache put forward in the book of "Only Probrems,Not Solution"(Xiquar Publishing House,1993).更多还原