On the number of representations of $n=a+b$ with $ab$ a multiple of a polygonal number

Representation of $m$-gonal forms over $\mathbb N_0$ and a finiteness theorem for universal original version's $m$-gonal forms

In this article, we consider the representation of $m$-gonal forms over $\mathbb N_0$. We show that any $m$-gonal forms over $\mathbb N_0$ of rank $\ge 5$ is almost regular and ponder the sufficiently large integers which are indeed represented over $\mathbb N_0$ among the integers which are locally represented. And as its consequential result, we prove a finiteness theorem for universal (original polygonal number version's) $m$-gonal forms over $\mathbb N_0$.

四个多边形数之和：精确公式

Sums of four polygonal numbers: precise formulas

本文给出四个广义多边形数之和及受限四平方和表示数的统一公式，以Hurwitz类数线性组合表示，证明若干猜想，并导出相关傅里叶系数公式。

Interesting identities involving weighted representations of integers as sums of arbitrarily many squares

In this paper, we obtain formulas for the number of representations of positive integers as sums of arbitrarily many squares (and other polygonal numbers) with a certain natural weighting. The resulting weighted sums give Fourier coefficients of weight two quasimodular forms.

关于P（3，n）的一个推广

On a generalization of P(3,n)

利用偏序集表示论的技巧，给出了一个关于一个正整数划分为三个多边形数的个数公式。

用偏序集表示论技巧研究形数的和

On sums of figurate numbers by using techniques of poset representation theory

我们使用偏序集的表示和微分算法，以获得有关未解决的问题的figurate数的结果。特别地，我们给出了三个八面体数、三个正秩多边形数或四个立方数之和且其中两个相等的自然数的判别准则。还得到了涉及这类数的Rogers-Ramanujan型恒等式。

多重阿佩里级数的积分表示

Integral Representations for Multiple Apéry-Like Series

本文通过初等方法获得多重阿佩里级数的积分表示，结合多重调和求和与中心二项式因子，利用分部积分与两个关键傅里叶展开推导出新恒等式。

高斯超几何方程解的多重多项式表示、多重多项式的函数关系和多重zeta值的关系

Representation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta values

本文利用迭代积分将高斯超几何方程的解表示为多重多项式的级数。这种表示是形式KZ方程解的半简单表示的最简单的情况。此外，将该表示与Gauss超几何方程解的联系关系相结合，得到了一元多重多项式与多重zeta值的各种关系.

高斯超几何函数的多重多项式表示及多重zeta值关系

Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values

本文描述了高斯超几何方程$F(α,β,γ;z)$的一种解，其系数为多个多项式的$\Z$线性组合的参数$α,β,γ$的幂级数。并利用超几何方程解的表示和联络关系，给出了多重zeta值的一些关系。