2 citations · 4 across the 10 of their papers we have counts for
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Double series for and their -analogues
Chuanan Wei, Guozhu Ruan
With the help of the partial derivative operator and several summation formulas for hypergeometric series, we find three double series for . In terms of the operator just stated…
Some q-Supercongruences for the truncated q-trinomial coefficients
Chuanan Wei
In 1987, Andrews and Baxter introduced six kinds of -trinomial coefficients in exploring the solution of a model in statistical mechanics. In this paper, we give some -superc…
New -supercongruences arising from a summation of basic hypergeometric series
Chuanan Wei, Chun Li
With the help of a summation of basic hypergeometric series, the creative microscoping method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for coprime…
-Supercongruences from the -Saalschütz identity
Chuanan Wei, Yudong Liu, Xiaoxia Wang
In terms of the -Saalschütz identity and the Chinese remainder theorem for coprime polynomials, we establish some -supercongruences modulo the third power of a cyclotomic pol…
-Supercongruences with parameters
Chuanan Wei
In terms of the creative microscoping method recently introduced by Guo and Zudilin [Adv. Math. 346 (2019), 329--358], we find a -supercongruence with four parameters modulo $Φ_…
A further -analogue of Van Hamme's (H.2) supercongruence for
Chuanan Wei
Several years ago, Long and Ramakrishna [Adv. Math. 290 (2016), 773--808] extended Van Hamme's (H.2) supercongruence to the modulus case. Recently, Guo [Int. J. Number Theory…