Abstract
In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoretic techniques, we provide ^-analogues involving the g-binomial coefficients. Our results are a generalisation of some previous work by Guo and Zhang.
| Original language | English |
|---|---|
| Pages (from-to) | 257-272 |
| Number of pages | 16 |
| Journal | Ars Combinatoria |
| Volume | 151 |
| Publication status | Published - Jul 2020 |
Keywords
- And phrases, binomial coefficients
- Gaussian binomial coefficients
- Integer partitions
- Q-binomial coefficients
ASJC Scopus subject areas
- General Mathematics