%0 Journal Article
%T The Generalization of Combination Number
%A Zhongqi Zhou
%A Shijie Zhou
%J Open Access Library Journal
%V 11
%N 8
%P 1-9
%@ 2333-9721
%D 2024
%I Open Access Library
%R 10.4236/oalib.1112012
%X 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 <em>m</em> factorial of <em>n</em> 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 <em>m</em> factorial of <em>n</em>, the congruence formula of the modular prime of the original factorial is generalized.
%K Generalization of Combination Number
%K Factorial Generalization
%K Euler Function Generalization
%U http://www.oalib.com/paper/6832786