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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
- 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.
- Subjects :
- Mathematics - Number Theory
11M32 (Primary) 11M35 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1310.7716
- Document Type :
- Working Paper