J4 ›› 2012, Vol. 50 ›› Issue (05): 859-862.
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SUN Cuifang, CHENG Zhi
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Abstract:
For any positive integer n, let (n) be Euler function and Ω(n) denote the total number of prime factors of n, we studied the solutions of three kinds of equations n-(n)=2Ω(n), n-((n))=2Ω(n) and (n-(n))=2Ω(n) using the methods of number theory, obtaining all the positive integer solutions of these kinds of equations.
Key words: Euler function (n), equation, positive integer solutions
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SUN Cui-Fang, CHENG Zhi. Some Equations Involving Euler Function (n)[J].J4, 2012, 50(05): 859-862.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2012/V50/I05/859
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