en
https://doi.org/10.1007/978-1-4757-3621-2_1
A multiple L-function and a multiple Hurwitz zeta function of EulerZagier type are introduced. Analytic continuation of them as complex functions of several variables is established by an application of the Euler-Maclaurin summation formula. Moreover location of singularities of such zeta functions is studied in detail.
such zeta functions
Hurwitz zeta function
variables
location of singularities
Related Zeta-Functions
multiple Hurwitz zeta functions
zeta function
complex functions
summation formula
Multiple L
location
chapters
Euler-Maclaurin summation formula
chapter
continuation
https://scigraph.springernature.com/explorer/license/
zeta-functions
formula
2002
false
1-16
detail
2022-01-01T19:23
2002-01-01
types
On Analytic Continuation of Multiple L-Functions and Related Zeta-Functions
singularity
function
EulerZagier type
applications
analytic continuation
Matsumoto
Kohji
Department of Mathematics, Faculty of Science, Niigata University, Ikarashi 2-8050, 950-2181, Niigata, Japan
Department of Mathematics, Faculty of Science, Niigata University, Ikarashi 2-8050, 950-2181, Niigata, Japan
Graduate school of Natural Science, Niigata University, Ikarashi 2-8050, 950-2181, Niigata, Japan
Graduate school of Natural Science, Niigata University, Ikarashi 2-8050, 950-2181, Niigata, Japan
978-1-4419-5214-1
978-1-4757-3621-2
Analytic Number Theory
dimensions_id
pub.1034094453
Medical and Health Sciences
Springer Nature
Ishikawa
Hideaki
Springer Nature - SN SciGraph project
doi
10.1007/978-1-4757-3621-2_1
Neurosciences
Jia
Chaohua
Akiyama
Shigeki