TITLE:
The Generalization of Combination Number
AUTHORS:
Zhongqi Zhou, Shijie Zhou
KEYWORDS:
Generalization of Combination Number, Factorial Generalization, Euler Function Generalization
JOURNAL NAME:
Open Access Library Journal,
Vol.11 No.8,
August
28,
2024
ABSTRACT: In this paper, the concepts of combination number, factorial and Euler function are generalized, and the concepts of generalized combination number, generalized Euler function and m factorial of n are proposed. Several typical Identities and congruence of generalized combination number are proved, and the calculation formulas of generalized Euler function are derived. Using the m factorial of n, the congruence formula of the modular prime of the original factorial is generalized.