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math.CO2020
-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…
math.CO2020
-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_…
math.CO2020
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…