scholarly journals The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions I

2003 ◽  
Vol 101 (2) ◽  
pp. 223-243 ◽  
Author(s):  
Kohji Matsumoto
Keyword(s):  
Asymptotic Behaviour ◽  
Analytic Continuation ◽  
Zeta Functions ◽  
Multiple Zeta

scholarly journals Analytic continuation of multiple zeta-functions and their values at non-positive integers

2001 ◽  
Vol 98 (2) ◽  
pp. 107-116 ◽  
Author(s):  
Shigeki Akiyama ◽  
Shigeki Egami ◽  
Yoshio Tanigawa
Keyword(s):  
Analytic Continuation ◽  
Zeta Functions ◽  
Multiple Zeta ◽  
Positive Integers

scholarly journals Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series

2003 ◽  
Vol 172 ◽  
pp. 59-102 ◽  
Author(s):  
Kohji Matsumoto
Keyword(s):  
Analytic Continuation ◽  
Eisenstein Series ◽  
Asymptotic Expansions ◽  
Zeta Functions ◽  
Basic Technique ◽  
The Third ◽  
Multiple Zeta ◽  
Double Zeta

AbstractThe present paper contains three main results. The first is asymptotic expansions of Barnes double zeta-functions, and as a corollary, asymptotic expansions of holomorphic Eisenstein series follow. The second is asymptotic expansions of Shintani double zeta-functions, and the third is the analytic continuation of n-variable multiple zeta-functions (or generalized Euler-Zagier sums). The basic technique of proving those results is the method of using the Mellin-Barnes type of integrals.

Periods, Multiple Zeta Functions and ζ(3)

2014 ◽  
pp. 185-203
Author(s):  
M. Ram Murty ◽  
Purusottam Rath
Keyword(s):  
Zeta Functions ◽  
Multiple Zeta

scholarly journals Desingularization of complex multiple zeta-functions

2017 ◽  
Vol 139 (1) ◽  
pp. 147-173 ◽  
Author(s):  
Hidekazu Furusho ◽  
Yasushi Komori ◽  
Kohji Matsumoto ◽  
Hirofumi Tsumura
Keyword(s):  
Zeta Functions ◽  
Multiple Zeta
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