A q -analogue of a Ramanujan-type supercongruence involving central binomial coefficients
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[1] Hao Pan,et al. A q-Analogue of Wolstenholme's Harmonic Series Congruence , 2005, Am. Math. Mon..
[2] B. He,et al. Some congruences on q-Catalan numbers , 2016 .
[3] Jonathan M. Borwein,et al. Modular Equations and Approximations to π , 2000 .
[4] A generalization of Morley’s congruence , 2006 .
[5] Wadim Zudilin,et al. Ramanujan-type supercongruences , 2008, 0805.2788.
[6] A. Straub. A $q$-analog of Ljunggren's binomial congruence , 2011, 1103.3258.
[7] Holly Swisher,et al. On the supercongruence conjectures of van Hamme , 2015, 1504.01028.
[8] Ling Long,et al. Hypergeometric evaluation identities and supercongruences , 2009, 0912.0197.
[9] Eric T. Mortenson,et al. A p-ADIC SUPERCONGRUENCE CONJECTURE OF VAN HAMME , 2008 .
[10] Victor J. W. Guo,et al. The Rodriguez-Villegas type congruences for truncated q-hypergeometric functions , 2015, 1507.03107.
[11] Robert D. Fray. Congruence properties of ordinary and $q$-binomial coefficients , 1967 .
[13] Roberto Tauraso,et al. q-Analogs of some congruences involving Catalan numbers , 2009, Adv. Appl. Math..
[14] Mohamud Mohammed,et al. The q-Markov-WZ Method , 2005 .
[15] Jesus Guillera. Some binomial series obtained by the WZ-method , 2002, Adv. Appl. Math..
[16] Donald E. Knuth,et al. The power of a prime that divides a generalized binomial coefficient. , 1989 .
[17] Zhi-Wei Sun,et al. Products and Sums Divisible by Central Binomial Coefficients , 2010, Electron. J. Comb..
[18] Doron Zeilberger,et al. A WZ proof of Ramanujan's Formula for Pi , 1993 .
[19] George E. Andrews,et al. q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher , 1999, Discret. Math..
[20] Jiang Zeng,et al. Some congruences involving central q-binomial coefficients , 2009, Adv. Appl. Math..
[21] Emil Grosswald,et al. The Theory of Partitions , 1984 .
[22] B. He. Some congruences on conjectures of van Hamme , 2016 .
[23] M. Schlosser. BASIC HYPERGEOMETRIC SERIES , 2007 .
[24] William Y. C. Chen,et al. Suggested Running Title: Factors of the Gaussian Coefficients , 2022 .
[25] Jiang Zeng,et al. Some arithmetic properties of the q-Euler numbers and q-Salié numbers , 2006, Eur. J. Comb..
[26] Victor J. W. Guo,et al. Some $q$-supercongruences for truncated basic hypergeometric series , 2015 .
[27] R. Tauraso. Some $q$-analogs of congruences for central binomial sums , 2012, 1201.6152.
[28] Jeus Guillera,et al. Generators of some Ramanujan formulas , 2006, 1104.0392.
[29] G. Bauer,et al. Von den Coefficienten der Reihen von Kugelfunctionen einer Variablen. , 1859 .
[30] Victor J. W. Guo,et al. Some q-analogues of supercongruences of Rodriguez-Villegas , 2014, Journal of Number Theory.
[31] W. Edwin Clark,et al. q-Analogue of a binomial coefficient congruence , 1995 .