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Factors of the Gaussian coefficients
- Source :
-
Discrete Mathematics . Jul2006, Vol. 306 Issue 13, p1446-1449. 4p. - Publication Year :
- 2006
-
Abstract
- 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 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 306
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 21190119
- Full Text :
- https://doi.org/10.1016/j.disc.2006.03.031