论文标题
关于Thakur超几何函数的某些特殊值的时期解释
On the period interpretation for some special values of Thakur hypergeometric functions
论文作者
论文摘要
1995年，塔库尔（Thakur）发明并研究了超几何函数的积极特征类似物。在本文中，我们将这些功能的特殊值解释为前$ t $ - 动力的时期。结果，我们通过使用Chang的Anderson-Brownawell-Papanikolas标准来展示他们的超越和线性独立性结果。此外，作为副产品，我们根据我们的时期解释和相应的精制标准，在Kochubei多个小聚集体的特殊值中显示了一些线性/代数独立性结果。
In 1995, Thakur invented and studied positive characteristic analogues of hypergeometric functions. In this paper, we interpret the special values of those functions as periods of a pre-$t$-motive. As a consequence, we show their transcendence and linear independence results by using Chang's refined version of the Anderson-Brownawell-Papanikolas criterion. Furthermore, as by-products, we show some linear/algebraic independence results among the special values of Kochubei multiple polylogarithms according to our period interpretation and the corresponding refined criterion.
