In this paper, we study a large class of zeta functions. We evaluate explicitly the special values of these zeta functions and the associated derivatives at |$0$|⁠. As an application, we recover several results on the zeta functions defined by two polynomials already obtained in the literature.

中文翻译：

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ZETA函数的正则式行列式的公式及其在某些狄利克雷级数中的应用

在本文中，我们研究了一大类zeta函数。我们显式评估这些zeta函数的特殊值和相关的导数| $ 0 $ |⁠。作为一种应用，我们从文献中已经获得的两个多项式定义的zeta函数中恢复了几个结果。