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math.NT2009★ 24 cited
Some congruences involving central q-binomial coefficients
Victor J. W. Guo, Jiang Zeng
Motivated by recent works of Sun and Tauraso, we prove some variations on the Green-Krammer identity involving central q-binomial coefficients, such as $$ \sum_{k=0}^{n-1}(-1)^kq^{…
math.NT2009★ 28 cited
Factors of binomial sums from the Catalan triangle
Victor J. W. Guo, Jiang Zeng
By using the Newton interpolation formula, we generalize the recent identities on the Catalan triangle obtained by Miana and Romero as well as those of Chen and Chu. We further stu…