Properties of Some Kind of Number Theoretical  Function (II)

Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (3): 402-405.

Properties of Some Kind of Number Theoretical Function (II)

College of Mathematics and Information Sciences Henan University,College of Mathematics and Information Sciences Henan University Kaifeng 475004,China School of Mathematics and Information Sciences,Shaanxi Normal University,Xi’an 710062,China,Kaifeng 475004,China

Received:2006-10-08 Online:2007-09-30 Published:2023-10-27
About author: LI Yi-jun(1972-), male, native of Yanshi, Henan, Ph.D., engages in analytic number theory.
Supported by:
Supported by the National Natural Science Foundation of China(10671056)

Abstract

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 is relatively prime to n.ω(n) is defined to be the number of different prime divisors of n.In order to know the solvability of the function of φ(φ(φ(n)))=2(ω(n)),properties of the number theoretical function φ(φ(n)) is studied in the paper.

Key words: Euler function, solutions, number of solutions, divide exactly

CLC Number:

LIYi-jun, LIU Hua-ke. Properties of Some Kind of Number Theoretical Function (II)[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 402-405.

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Properties of Some Kind of Number Theoretical Function (II)

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