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math.NT2021
Supercongruences involving Domb numbers and binary quadratic forms
Guo-Shuai Mao, Michael J. Schlosser
In this paper, we prove two recently conjectured supercongruences (modulo , where is any prime greater than ) of Zhi-Hong Sun on truncated sums involving the Domb numbe…
math.CO2021★ 2 cited
Elliptic solutions of dynamical Lucas sequences
Michael J. Schlosser, Meesue Yoo
We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version i…
math.NT2021
Some -supercongruences modulo the square and cube of a cyclotomic polynomial
Victor J. W. Guo, Michael J. Schlosser
Two -supercongruences of truncated basic hypergeometric series containing two free parameters are established by employing specific identities for basic hypergeometric series. T…