Limit Theorem for the Riemann Zeta-Function in the Space of Continuous Functions

1996 ◽  
pp. 237-250
Author(s):  
Antanas Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Zeta Function ◽  
Riemann Zeta Function ◽  
Continuous Functions ◽  
Space Of Continuous Functions ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

scholarly journals Local limit theorem for coefficients of modified Borwein’s algorithm, proved by the ratio method

2019 ◽  
Vol 60 ◽  
pp. 11-14
Author(s):  
Igoris Belovas
Keyword(s):  
Limit Theorem ◽  
Zeta Function ◽  
Riemann Zeta Function ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Ratio Method ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

The paper continues the research of the modified Borwein method for the evaluation of the Riemann zeta-function. It provides a different perspective on the derivation of the local limit theorem for coefficients of the method. The approach is based on the ratio method, proposed by Proschan.  

scholarly journals A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function

2007 ◽  
Vol 47 ◽  
Author(s):  
Violeta Balinskaitė
Keyword(s):  
Limit Theorem ◽  
Zeta Function ◽  
Riemann Zeta Function ◽  
Mellin Transform ◽  
Two Dimensional ◽  
Mellin Transforms ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.

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