Geodesic
On the gaps between $q$-binomial coefficients
Communications in Mathematics, Tome 29 (2021) no. 3, pp. 431-442

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In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \binom {n}{k}_q-\binom {n'}{k'}_q\bigr \rvert $, where $(n,k)\ne (n',k')$ and $q\ge 2$ is an integer.
Classification : 11B39, 11B65
Keywords: $q$-binomial coefficients 
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Luca, Florian; Manganye, Sylvester. On the gaps between $q$-binomial coefficients. Communications in Mathematics, Tome 29 (2021) no. 3, pp. 431-442. http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a7/