scholarly journals Expanding maps on Cantor sets and analytic continuation of zeta functions

2005 ◽  
Vol 38 (1) ◽  
pp. 116-153 ◽  
Author(s):  
F NAUD
Keyword(s):  
Analytic Continuation ◽  
Zeta Functions ◽  
Cantor Sets ◽  
Expanding Maps

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

A Generalization of Epstein Zeta Functions

1949 ◽  
Vol 1 (4) ◽  
pp. 320-327 ◽  
Author(s):  
S. Minakshisundaram
Keyword(s):  
Zeta Function ◽  
Analytic Continuation ◽  
General Class ◽  
Zeta Functions ◽  
Epstein Zeta Function ◽  
Image Position

§ 1. An Epstein zeta function (in its simplest form) is a function represented by the Dirichlet's series where a1… ak are real and n1, n2, … nk run through integral values. The properties of this function are well known and the simplest of them were proved by Epstein [2, 3]. The aim of this note is to define a general class of Dirichlet's series, of which the above can be viewed as an instance, and to discuss the problem of analytic continuation of such series.

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