ON A FORMULA FOR THE REGULARIZED DETERMINANT OF ZETA FUNCTIONS WITH APPLICATION TO SOME DIRICHLET SERIES-Reference-Cited by-同舟云学术

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

Published:2020-06-25 Issue:3 Volume:71 Page:843-865
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Hajli Mounir¹

Affiliation:

1. School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dongchuan RD, Minhang District Shanghai 200240, P.R. China

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/71/3/843/33669666/haaa006.pdf

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