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4 papers
Factors of certain sums involving central q-binomial coefficients
Victor J. W. Guo, Su-Dan Wang
Recently, Ni and Pan proved a -congruence on certain sums involving central -binomial coefficients, which was conjectured by Guo. In this paper, we give a generalization of t…
Proof of a q-supercongruence conjectured by Guo and Schlosser
Long Li, Su-Dan Wang
In this paper, we confirm the following conjecture of Guo and Schlosser: for any odd integer and or , $$ \sum_{k=0}^{M}[4k-1]_{q^2}[4k-1]^2\frac{(q^{-2};q^4)…
Factors of sums and alternating sums of products of -binomial coefficients and powers of -integers
Victor J. W. Guo, Su-Dan Wang
We prove that, for all positive integers , , and non-negative integers and with , the following two expressions \begin{align*}…
Factors of sums involving -binomial coefficients and powers of -integers
Victor J. W. Guo, Su-Dan Wang
We show that, for all positive integers , , and any non-negative integers and with , the expression $$ \frac{1}{[n_1]}{n_1+n_{m…