首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Factors of the Gaussian coefficients
Authors:William YC Chen
Institution:Center for Combinatorics, LPMC, Nankai University, Tianjin 300071, PR China
Abstract:We present some simple observations on factors of the q-binomial coefficients, the q-Catalan numbers, and the q-multinomial coefficients. Writing the Gaussian coefficient with numerator n and denominator k in a form such that 2k?n by the symmetry in k, we show that this coefficient has at least k factors. Some divisibility results of Andrews, Brunetti and Del Lungo are also discussed.
Keywords:q-Multinomial coefficient  Gaussian coefficient  q-Catalan number  Cyclotomic polynomial
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号