A Simple Approach to the Analytic Continuation and Values at Negative Integers for Riemann's Zeta-Function

1981 ◽  
Vol 81 (4) ◽  
pp. 513 ◽  
Author(s):  
David Goss
Keyword(s):  
Zeta Function ◽  
Analytic Continuation ◽  
Simple Approach ◽  
Riemann’S Zeta Function

scholarly journals THE MELLIN TRANSFORM OF THE SQUARE OF RIEMANN'S ZETA-FUNCTION

2005 ◽  
Vol 01 (01) ◽  
pp. 65-73 ◽  
Author(s):  
ALEKSANDAR IVIĆ
Keyword(s):  
Zeta Function ◽  
Analytic Continuation ◽  
Mellin Transform ◽  
Riemann’S Zeta Function

Let [Formula: see text]. A result concerning analytic continuation of Z1(s) to ℂ is proved, and also a result relating the order of [Formula: see text] to the order of [Formula: see text].

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