Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (4): 605-608.

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Some Kind of Equations Involving Euler's Function

  

  1. 1. College of Mathematics and Information Science, Henan University2. Department of Basic Studies, Sias International School of Zhengzhou University
  • Received:2006-06-25 Online:2009-12-30 Published:2023-06-19
  • About author:LI Yi-jun(1972-), male, native of Yanshi, Henan, an associate professor of Henan University, Ph.D., engages in analytic number theory.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10671056);

Abstract: For any given positive integer n≥1, the Euler function φ(n) is defined to be the number of positive integers not exceeding n which are relatively prime to n. ω(n) is defined to be the number of different prime divisors of n. Some kind of equations involving Euler’s function is studied in the paper.

Key words: Euler's function, equation, number of solutions

CLC Number: