论文标题
Goss $ L $ - 系列的特殊价值，等级2
Special values of Goss $L$-series attached to Drinfeld modules of rank 2
论文作者
论文摘要
受经典环境的启发，戈斯定义了$ l $ series，附加到德林菲尔德模块。在本文中，对于固定选择了质量数量的功率$ q $和给定的德林菲尔德模块的排名2的$ ϕ $，其系数具有一定条件，我们给出了明确的公式，以实现goss $ l $ series of $ l $ series of $ n $ n $ n $ n $ n $ n $ n $ n $ 2n+1 \ le q legry coeffm y coeffm and coeffm y coeffm and coeffm y coeffm y coeffmar and cofeftm and cofeftm and cofeftm and coeffmar的coeffmar的含量和公式。 $ ϕ $。
Inspired by the classical setting, Goss defined $L$-series attached to Drinfeld modules. In this paper, for a fixed choice of a power $q$ of a prime number and a given Drinfeld module $ϕ$ of rank 2 with a certain condition on its coefficients, we give explicit formulas for the values of Goss $L$-series attached to $ϕ$ at positive integers $n$ such that $2n+1\leq q$ in terms of polylogarithms and coefficients of the logarithm series of $ϕ$.
