Title :
A congruence on q-binomial coefficients
Author :
Jie-Hong Xu ; Bao-Zhu Zhao
Author_Institution :
Sichuan TOP Vocational Inst. of Inf. Technol., Chengdu, China
Abstract :
In this paper, we prove that the following results are true: For any more than equal to 0 and less than or equal to 3 integer a, and more than equal to 1 integer m, we have a congruence on q-binomial coefficients. This confirms partially a conjecture of Guo suggested in 2009.
Keywords :
polynomials; congruence; n-th cyclotomic polynomial; nonnegative integer; positive integer; q-binomial coefficients; Abstracts; Polynomials; Congruence; Cyclotomic Polynomial; Q-Binomial Coefficient;
Conference_Titel :
Wavelet Active Media Technology and Information Processing (ICWAMTIP), 2012 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4673-1684-2
DOI :
10.1109/ICWAMTIP.2012.6413520