On the gaps between $q$-binomial coefficients

Luca, Florian, and Manganye, Sylvester. "On the gaps between $q$-binomial coefficients." Communications in Mathematics 29.3 (2021): 431-442. <http://eudml.org/doc/297656>.

@article{Luca2021,
abstract = {In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \vert \binom\{n\}\{k\}_q-\binom\{n^\{\prime \}\}\{k^\{\prime \}\}_q\bigr \vert $, where $(n,k)\ne (n^\{\prime \},k^\{\prime \})$ and $q\ge 2$ is an integer.},
author = {Luca, Florian, Manganye, Sylvester},
journal = {Communications in Mathematics},
keywords = {$q$-binomial coefficients},
language = {eng},
number = {3},
pages = {431-442},
publisher = {University of Ostrava},
title = {On the gaps between $q$-binomial coefficients},
url = {http://eudml.org/doc/297656},
volume = {29},
year = {2021},
}

TY - JOUR
AU - Luca, Florian
AU - Manganye, Sylvester
TI - On the gaps between $q$-binomial coefficients
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
VL - 29
IS - 3
SP - 431
EP - 442
AB - In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \vert \binom{n}{k}_q-\binom{n^{\prime }}{k^{\prime }}_q\bigr \vert $, where $(n,k)\ne (n^{\prime },k^{\prime })$ and $q\ge 2$ is an integer.
LA - eng
KW - $q$-binomial coefficients
UR - http://eudml.org/doc/297656
ER -