本项目研究zeta函数及其多元推广在整数点上特殊值的性质，研究它们与其它学科的关系。我们研究多元zeta值的哪些代数关系可以由正则化双shuffle关系导出；考虑motivic多元zeta值的性质的一些应用；研究gamma函数、超几何函数与各种多元zeta值的关系，对满足正则化双shuffle关系的对象定义适当的广义超几何函数，探讨圆锥形zeta值与超几何函数的关系；尝试推广椭圆的多元zeta值的定义，定义更高亏格的多元zeta值，研究某些特殊数域的多元Dedekind zeta值。

This project considers the properties of the special values of zeta functions and their multiple generalizations at integer arguments, and their relationships with other disciplines. We study which algebraic relations of multiple zeta values can be deduced from regularized double shuffle relations; consider the applications of the properties of motivic multiple zeta values; study the relationships of gamma functions, hypergeometric functions with some types of multiple zeta values, try to obtain a suitable definition of generalized hypergeometric functions for an object with regularized double shuffle relations, and explore the relationship between the conical zeta values and hypergeometric functions; try to generalize the definition of elliptic multiple zeta values to higher genus, and study multiple Dedekind zeta value of some special number fields.