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math.NT2018★ 31 cited
Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
Victor J. W. Guo, Michael J. Schlosser
By means of the -Zeilberger algorithm, we prove a basic hypergeometric supercongruence modulo the fifth power of the cyclotomic polynomial . This result appears to be qu…
math.NT2018
Some -supercongruences from transformation formulas for basic hypergeometric series
Victor J. W. Guo, Michael J. Schlosser
Several new -supercongruences are obtained using transformation formulas for basic hypergeometric series, together with various techniques such as suitably combining terms, and…
math.CO2018
Bilateral identities of the Rogers--Ramanujan type
Michael J. Schlosser
We derive by analytic means a number of bilateral identities of the Rogers--Ramanujan type. Our results include bilateral extensions of the Rogers--Ramanujan and the Göllnitz-Gordo…