2 papers
math.NT2023
Ramanujan-inspired series for involving harmonic numbers
Qinghu Hou, Haihong He, Xiaoxia Wang
By applying the derivative operator to the known identities from hypergeometric series or WZ pairs, we obtain seven series associated with harmonic numbers. Specifically, six of th…
math.CO2023
Two curious q-supercongruences and their extensions
Haihong He, Xiaoxia Wang
We prove two single-parameter q-supercongruences which were recently conjectured by Guo, and establish their further extensions with one more parameter. Crucial ingredients in the…