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{\bf Victor J. W. Guo and Dan-Mei Yang}
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{\bf A $q$-Analogue of some Binomial Coefficient Identities of Y. Sun}
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We give a $q$-analogue of some binomial coefficient identities of Y. Sun
[Electron. J. Combin. 17 (2010), \#N20] as follows:
\begin{align*}
\sum_{k=0}^{\lfloor n/2\rfloor}{m+k\brack k}_{q^2}{m+1\brack n-2k}_{q} q^{n-2k\choose 2}
&={m+n\brack n}_{q}, \\[5pt]
\sum_{k=0}^{\lfloor n/4\rfloor}{m+k\brack k}_{q^4}{m+1\brack n-4k}_{q} q^{n-4k\choose 2}
&=\sum_{k=0}^{\lfloor n/2\rfloor}(-1)^k{m+k\brack k}_{q^2}{m+n-2k\brack n-2k}_{q},
\end{align*}
where ${n\brack k}_q$ stands for the $q$-binomial coefficient.
We provide two proofs, one of which is combinatorial via partitions.



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