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On the functional equation of the normalized Shintani L-function of several variables
- Source :
- Mathematische Zeitschrift. 280:1085-1092
- Publication Year :
- 2015
- Publisher :
- Springer Science and Business Media LLC, 2015.
-
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 :
- Integral representation
Mathematics - Number Theory
Generalization
Mathematics::Number Theory
General Mathematics
Mathematics::Classical Analysis and ODEs
Special values
Riemann zeta function
Algebra
symbols.namesake
11M32 (Primary) 11M35 (Secondary)
Functional equation
FOS: Mathematics
symbols
Number Theory (math.NT)
L-function
Mathematics::Representation Theory
Mathematics
Subjects
Details
- ISSN :
- 14321823 and 00255874
- Volume :
- 280
- Database :
- OpenAIRE
- Journal :
- Mathematische Zeitschrift
- Accession number :
- edsair.doi.dedup.....cf7fb8f0db6598d78b1c42db4b246e60