A q-analogue of a Ramanujan-type supercongruence involving central binomial coefficients

作者：Guo, Victor J. W.^*

来源：Journal of Mathematical Analysis and Applications, 2018, 458(1): 590-600.

DOI：10.1016/j.jmaa.2017.09.022

• q-binomial coefficients
• Wilf-Zeilberger method
• q-WZ pair
• Cyclotomic polynomials
• q-Chu-Vandermonde summation

Motivated by Zudilin's work, we give a q-analogue of a Ramanujan-type supercongruence of van Hamme and Mortenson via the q-WZ method. Meanwhile, we give a q-analogue of a related congruence of Sun in the same way. We also propose several related conjectures on congruences involving central q-binomial coefficients.

• 出版日期2018-2-1
• 单位淮阴师范学院