ON A FORMULA FOR THE REGULARIZED DETERMINANT OF ZETA FUNCTIONS WITH APPLICATION TO SOME DIRICHLET SERIES

2020 ◽  
Vol 71 (3) ◽  
pp. 843-865
Author(s):  
Mounir Hajli

Abstract 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.

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