标题： 变域常数域的多重 zeta 值 显示英文标题

标题： Multiple zeta values with varying constant fields

摘要： 同时处理与具有变化常数域的函数域相关的多重泽塔值。 塔库尔在正特征函数域的算术中引入了多重泽塔值，其定义依赖于所选函数域的常数域。 利用帕帕尼科拉乌关于 $t$ - motivic Galois 群与预-$t$-motive周期之间关系的理论，我们证明了不存在可以关联具有不同常数域的多重泽塔值的代数关系。 显示英文摘要

摘要： Multiple zeta values associated with function fields with varying constant fields are dealt with simultaneously. Thakur introduced multiple zeta values in the arithmetic of positive characteristic function fields, and the definition depends on the field of constants of the chosen function field. Using Papanikolas' theory on the relationship between the $t$-motivic Galois group and the periods of a pre-$t$-motive, we show that there exist no algebraic relations which relate multiple zeta values with different constants field.