论文标题
多个卢卡斯·德里奇特（Lucas Dirichlet
Multiple Lucas Dirichlet series associated to additive and Dirichlet characters
论文作者
论文摘要
在本文中，我们获得了多个转移的Lucas Zeta函数的分析延续，多个lucas $ l $ - 功能与Dirichlet字符和加法字符相关。然后，我们计算这些杆子在这些功能的确切奇异性和残基的完整列表。此外，我们显示了与二次字符相关的多个Lucas $ L $ functions在负整数参数上的合理性。
In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas $L$-function associated to Dirichlet characters and additive characters. We then compute a complete list of exact singularities and residues of these functions at these poles. Further, we show the rationality of the multiple Lucas $L$-functions associated with quadratic characters at negative integer arguments.
