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DM
2006

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Factors of the Gaussian coefficients

13 years 5 months ago

Factors of the Gaussian coefficients

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Abstract. We present some simple observations on factors of the qbinomial 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.

William Y. C. Chen, Qing-Hu Hou

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DM 2006 | Gaussian Coefficient | Q-multinomial Coefficients | Qbinomial Coefficients |

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Added	11 Dec 2010
Updated	11 Dec 2010
Type	Journal
Year	2006
Where	DM
Authors	William Y. C. Chen, Qing-Hu Hou

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