Su-Dan Wang

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20172021

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math.NT2021

Factors of certain sums involving central q-binomial coefficients

Victor J. W. Guo, Su-Dan Wang

Recently, Ni and Pan proved a $q$ -congruence on certain sums involving central $q$ -binomial coefficients, which was conjectured by Guo. In this paper, we give a generalization of t…

math.NT2020

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 $n > 1$ and $M = (n + 1) /2$ or $n - 1$ , $$ \sum_{k=0}^{M}[4k-1]_{q^2}[4k-1]^2\frac{(q^{-2};q^4)…

math.NT2017

Factors of sums and alternating sums of products of $q$ -binomial coefficients and powers of $q$ -integers

Victor J. W. Guo, Su-Dan Wang

We prove that, for all positive integers $n_{1}, \dots, n_{m}$ , $n_{m + 1} = n_{1}$ , and non-negative integers $j$ and $r$ with $j ⩽ m$ , the following two expressions \begin{align*}…

Factors of certain sums involving central q-binomial coefficients

Proof of a q-supercongruence conjectured by Guo and Schlosser

Factors of sums and alternating sums of products of q-binomial coefficients and powers of q-integers

Factors of sums and alternating sums of products of $q$ -binomial coefficients and powers of $q$ -integers