标题： 多个$\wp$函数及其应用 显示英文标题

标题： Multiple $\wp$-Functions and Their Applications

摘要： 在本文中，我们引入并研究了多个$\wp$-函数，这些函数将经典的魏尔斯特拉斯$\wp$-函数推广到格点上的迭代求和，并建立了明确的公式，用单个$\wp$-函数来表示它们，系数由多个艾森斯坦级数给出。 作为应用，我们通过利用多个$\wp$-函数的双重周期性，推导出多个艾森斯坦级数和多个ζ值之间的某些关系。 显示英文摘要

摘要： In this paper, we introduce and study multiple $\wp$-functions, which generalize the classical Weierstrass $\wp$-function to iterated sums over lattice points, and we establish explicit formulas expressing them in terms of single $\wp$-functions with coefficients given by multiple Eisenstein series. As an application, we derive some relations among multiple Eisenstein series and multiple zeta values by exploiting the double periodicity of the multiple $\wp$-functions.