3 papers
math.CO2026
Polynomial reduction for -holonomic sequences
Rong-Hua Wang, Xiao-Ran Yang, Michael X. X. Zhong
This paper provides a (Laurent) polynomial reduction to -holonomic sequences . We first characterize Laurent polynomials such that the product $\tilde{p}(…
math.CO2025
Congruences for sums of Delannoy numbers and polynomials
Rong-Hua Wang, Michael X. X. Zhong
In this paper, we apply the power-partible reduction to study arithmetic properties of sums involving Delannoy numbers and polynomials . Let $v\in\bN$ and be an o…
math.CO2024
Power-Partible Reduction and Congruences for Apéry Numbers
Rong-Hua Wang, Michael X. X. Zhong
In this paper, we introduce the power-partible reduction for holonomic (or, P-recursive) sequences and apply it to obtain a series of congruences for Apéry numbers . In parti…