Rong-Hua Wang

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20242026

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math.CO2026

Polynomial reduction for $q$ -holonomic sequences

Rong-Hua Wang, Xiao-Ran Yang, Michael X. X. Zhong

This paper provides a (Laurent) polynomial reduction to $q$ -holonomic sequences $F_{k} (q)$ . We first characterize Laurent polynomials $p ~ (x)$ 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 $D_{k}$ and polynomials $D_{k} (z)$ . Let $v\in\bN$ and $p$ be an o…

math.CO2024

Rational reductions for holonomic sequences

Rong-Hua Wang

Given a holonomic sequence $F (n)$ , we characterize rational functions $r (n)$ so that $r (n) F (n)$ can be summable. We provide upper and lower bounds on the degree of the numerator of…

Polynomial reduction for q-holonomic sequences

Congruences for sums of Delannoy numbers and polynomials

Rational reductions for holonomic sequences

Polynomial reduction for $q$ -holonomic sequences