3 papers
math.CO2026
A construction method for WZ seeds
Qing-Hu Hou, Yan-Ping Mu
We propose a systematic method for constructing Wilf-Zeilberger (WZ) seeds and present seven WZ seeds. We also demonstrate how to construct WZ seeds from existing ones. With these…
math.CO2024
Rational Solutions to the First Order Difference Equations in the Bivariate Difference Field
Qing-Hu Hou, Yarong Wei
Inspired by Karr's algorithm, we consider the summations involving a sequence satisfying a recurrence of order two. The structure of such summations provides an algebraic framework…
math.CO2023
Reduction on the congruences of partial sums of P-recursive sequences
Qing-Hu Hou, Na Li
Hou and Liu developed a telescoping method to prove the congruence of partial sums of P-recursive sequences. We release the requirement on the telescoper and utilize the congruence…