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一个包含Smarandache函数的方程 被引量:6

An equation involving the Smarandache multiplicative function
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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.
作者 路玉麟
机构地区 西北大学数学系
出处 《纺织高校基础科学学报》 CAS 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)
关键词 SMARANDACHE函数 SMARANDACHE可乘函数 方程 正整数解 Smarandache function Smarandachr multiplicative function equation positive integer solutions
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参考文献8

  • 1吕忠田.关于F.Smarandache函数与除数函数的一个混合均值[J].纺织高校基础科学学报,2007,20(3):234-236. 被引量:6
  • 2冀永强.数论函数及其方程[J].纺织高校基础科学学报,2006,19(1):5-6. 被引量:7
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  • 8SMARANDACHE F. Only problems,not solutions[M]. Chicago:Xiquan Publishing House, 1993.

二级参考文献17

  • 1徐哲峰.Smarandache函数的值分布性质[J].数学学报(中文版),2006,49(5):1009-1012. 被引量:88
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