论文标题
更高属曲线的zeta样的多扎特值
Zeta-like Multizeta Values for higher genus curves
论文作者
论文摘要
我们证明或猜想了一类第一类的正属函数场的多ZETA值之间的几个关系，重点是类似zeta的值，即那些与相同权重的比率与Zeta值的比例是有理的（或构想等效的代数）。这些是Multizetas之间的第一个已知关系，这些关系与主要场系数不是。我们似乎有一个普遍家庭。我们还发现，有趣的关系起作用的机制与理性函数字段案例完全不同，从而提出了有关高级属中预期动机解释的有趣问题。我们提供一些支持猜测的数据。
We prove or conjecture several relations between the multizeta values for positive genus function fields of class number one, focusing on the zeta-like values, namely those whose ratio with the zeta value of the same weight is rational (or conjecturally equivalently algebraic). These are the first known relations between multizetas, which are not with prime field coefficients. We seem to have one universal family. We also find that interestingly the mechanism with which the relations work is quite different from the rational function field case, raising interesting questions about the expected motivic interpretation in higher genus. We provide some data in support of the guesses.
