Back to Search Start Over

On the functional equation of the normalized Shintani l-function of several variables

On the functional equation of the normalized Shintani l-function of several variables

Authors :
Hirose, Minoru
Sato, Nobuo
Publication Year :
2013

Abstract

In this paper, we introduce the normalized Shintani L-function of several variables by an integral representation and prove its functional equation. The Shintani L-function is a generalization to several variables of the Hurwitz-Lerch zeta function and the functional equation given in this paper is a generalization of the functional equation of Hurwitz-Lerch zeta function. In addition to the functional equation, we give special values of the normalized Shintani L-function at non-positive integers and some positive integers.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1310.7716
Document Type :
Working Paper