一个包含Smarandache函数的方程  

An equation involving the Smarandache multiplicative function

作　　者：路玉麟[1] 

机构地区：[1]西北大学数学系

出　　处：《纺织高校基础科学学报》2008年第2期253-254,共2页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10671155);陕西省教育厅项目(07JK243)

摘　　要：应罗马尼亚数论专家F.Smarandache教授的要求,寻求一个包含Smarandache函数的方程的整数解.利用初等方法,获得了这个方程的所有正整数解,发展了F.Smarandache教授在《Only Problems,Not Solution》中涉及的相关研究工作.The positive integer solutions of an equation involving the Smarandache function were found with the requirement of Romanian number theory expert F. Smarandacher professor. To use the elementary method,all positive integer of solutions in this equation were obtained. The problem proposed by professor F. Smarandache in his book 《Only problems, Not solution》 are developed.

关 键 词：SMARANDACHE函数 SMARANDACHE可乘函数 方程 正整数解 

分 类 号：O156.4[理学—数学]