Lu Subing & Shen Zhongyan · Journal of Advances in Mathematics and Computer Science · 2023
Huang Yize & Shen Zhongyan · Journal of Advances in Mathematics and Computer Science · 2023
In this paper, we use the properties of Euler’s function, elementary methods and the idea of classification discussion to study the solvability of equation \(\varphi\) (x)+2 = \(\varphi\) (x+2)
Xia Linfeng & Shen Zhongyan · Journal of Advances in Mathematics and Computer Science · 2022
Euler function \(\varphi(n)\) and generalized Euler function \(\varphi_{e}(n)\) are two important functions in number theory. Using the idea of classified discussion and determination of prime types, we study the solutions of odd number of generalized Euler function equations \(...
Xu Yifan & Shen Zhongyan · Journal of Advances in Mathematics and Computer Science · 2021
By using the properties of Euler function, an upper bound of solutions of Euler function equation is given, where is a positive integer. By using the classification discussion and the upper bound we obtained, all positive integer solutions of the generalized Euler function equa...
Huang Jiaxuan, Xie Lan, Xie Zhengyuan, Wen Yang, Shen Zhongyan & Ye Lixia · Asian Journal of Education and Social Studies · 2024
Similar triangles of junior high school mathematics textbooks from Chinese People's Education Press Version and Korean Gyeonggi Province Department of Education Version were selected for the study. The methods of literature study, content analysis and comparative study were utili...