论文标题
泰特代数中的微不足道多重zeta值
Trivial multiple zeta values in Tate algebras
论文作者
论文摘要
我们研究泰特代数中的微不足道多重Zeta值。这些是第二作者引入的阳性特征中泰特代数中多个Zeta值的特殊示例。如果所涉及的变量数量“不是大”，以精确的方式在纸张中进行精确，我们可以将一组微不足道的多重Zeta值赋予模块的结构，这是一个在非共同的多项式环上，在有限场上具有理性分数字段中的系数。我们根据发电机来确定该模块的结构，并显示在许多情况下，这足以检测Thakur的多个Zeta值之间的某些线性关系。
We study trivial multiple zeta values in Tate algebras. These are particular examples of the multiple zeta values in Tate algebras in positive characteristic introduced by the second author. If the number of variables involved is 'not large' in a way that is made precise in the paper, we can endow the set of trivial multiple zeta values with a structure of module over a non-commutative polynomial ring with coefficients in the rational fraction field over a finite field. We determine the structure of this module in terms of generators and we show how in many cases, this is sufficient for the detection of some linear relations between Thakur's multiple zeta values.
