Lin-Yue Li

collaborators

2 papers

math.NT2025

$q$ -Congruences for Z.-W. Sun's generalized polynomials $w_{k}^{(α)} (x)$

Lin-Yue Li, Rong-Hua Wang

In 2022, Z.-W. Sun defined \begin{equation*} w_k^{(α)}{(x)}=\sum_{j=1}^{k}w(k,j)^αx^{j-1}, \end{equation*} where $k, α$ are positive integers and $w(k,j)=\frac{1}{j}\binom{k-1}{j-1}…

math.NT2025

Arithmetic properties of generalized Delannoy polynomials and Schröder polynomials

Lin-Yue Li, Rong-Hua Wang

Let $n$ be any nonnegative integer and \[ D_n^{(h)}(x)=\sum_{k=0}^{n}\binom{n+k}{2k}^{h}\binom{2k}{k}^{h}{x}^{k} \text{ and } S_{n}^{(h)}(x)=\sum_{k=0}^{n}\binom{n+k}{2k}^{h}C_{k}^…

q-Congruences for Z.-W. Sun's generalized polynomials wk(α)​(x)

Arithmetic properties of generalized Delannoy polynomials and Schröder polynomials

$q$ -Congruences for Z.-W. Sun's generalized polynomials $w_{k}^{(α)} (x)$