| Title:
|
On the gaps between $q$-binomial coefficients (English) |
| Author:
|
Luca, Florian |
| Author:
|
Manganye, Sylvester |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
431-442 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
$q$-binomial coefficients |
| MSC:
|
11B39 |
| MSC:
|
11B65 |
| idZBL:
|
Zbl 07484378 |
| idMR:
|
MR4355413 |
| . |
| Date available:
|
2022-01-10T10:05:18Z |
| Last updated:
|
2022-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149327 |
| . |
| Reference:
|
[1] Luca, F., Marques, D., Stănică , P.: On the spacings between $C$-nomial coefficients.J. Number Theory, 130, 2010, 82-100, MR 2569843, 10.1016/j.jnt.2009.07.015 |
| Reference:
|
[2] Rosser, J. B., Schoenfeld, L.: Approximate formulas for some functions of prime numbers.Illinois J. Math., 6, 1962, 64-94, 10.1215/ijm/1255631807 |
| . |
