4 papers
Evaluations of some series via the WZ method
Qing-Hu Hou, Zhi-Wei Sun
In this paper, we evaluate some series via the WZ method, and confirm several previous conjectures. For example, we prove the following two identities conjectured by the second aut…
Finding congruences with the WZ method
Li-Quan Feng, Qing-Hu Hou
We utilize the Wilf-Zeilberger (WZ) method to establish congruences related to truncated Ramanujan-type series. By constructing hypergeometric terms with Gospe…
Log-behavior of the root sequences of P-recursive sequences
Qing-hu Hou, Zhongjie Li
In recent years, Sun has proposed numerous conjectures regarding the log-concavity of root sequences $\{\sqrt[n]{a_n}}_{n\geqslant 1}$. We establish criteria for the asymptotic log…
Taylor coefficients and series involving harmonic numbers
Qing-Hu Hou, Zhi-Wei Sun
During 2022--2023 Z.-W. Sun posed many conjectures on infinite series with summands involving generalized harmonic numbers. Motivated by this, we deduce series identities invo…