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《Journal of Baoji University of Arts and Sciences(Natural Science Edition)》 2018-04
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The positive integer solutions of generalized Euler function equation φ_2(n)=S(n~(22))

YUAN He-cai;WANG Bo;School of Mathematics and Statistics,North China University of Water Resource and Electric Power;Office of Admission and Employment,Sanmenxia Polytechnic College;  
Purposes—To discuss the positive integer solutions of generalized Euler function equationφ_2(n)=S(n~(22)),where φ_2(n)is generalized Euler function,S(n)is Smarandache function.Methods—The elementary number theory method and the calculation method technique were used to attain the above mentioned purpose,respectively.Result and Conclusion—All the four positive integer solutions of the equations are obtained.
【Fund】: 国家自然科学基金项目(U1304106);; 河南省科技攻关项目(172102210367)
【CateGory Index】: O156
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 JIANG Shunan;SHEN Zhongyan;School of Science and Technology,Zhejiang International Studies University;;The Solution of the Arithmetic Functional Equation Φ(n) = S(n~(11)) and Φ_2( n) = S(n~(11))[J];浙江外国语学院学报;2014-05
2 CAI Tianxin;SHEN Zhongyan;HU Mengjun;Department of Mathematics,Zhejiang University;Department of Mathematics,Zhejiang International Studies University;Department of Mathematics,Shaoxing No.1 High School Branch;;On the Parity of the Generalized Euler Function[J];数学进展;2013-04
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