Limit theorem for the Riemann zeta-function on the critical line. I

1987 ◽  
Vol 27 (1) ◽  
pp. 63-75
Author(s):  
A. Laurincikas
Keyword(s):  
Limit Theorem ◽  
Zeta Function ◽  
Riemann Zeta Function ◽  
Critical Line ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

scholarly journals A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function

2008 ◽  
Vol 13 (2) ◽  
pp. 159-167 ◽  
Author(s):  
V. Balinskaitė ◽  
V. Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Zeta Function ◽  
Riemann Zeta Function ◽  
Analytic Functions ◽  
Critical Line ◽  
Space Of Analytic Functions ◽  
Mellin Transforms ◽  
Convergence Of Probability Measures ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

In the paper, a two-dimentional discrete limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for Mellin transforms of the Riemann zeta-function on the critical line is obtained.

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 Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line

2018 ◽  
Vol 72 (3) ◽  
pp. 500-535 ◽  
Author(s):  
Louis-Pierre Arguin ◽  
David Belius ◽  
Paul Bourgade ◽  
Maksym Radziwiłł ◽  
Kannan Soundararajan
Keyword(s):  
Zeta Function ◽  
Riemann Zeta Function ◽  
Critical Line ◽  
Short Interval ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

Small values of the Riemann zeta function on the critical line

2015 ◽  
Vol 169 (3) ◽  
pp. 201-220 ◽  
Author(s):  
Justas Kalpokas ◽  
Paulius Šarka
Keyword(s):  
Zeta Function ◽  
Riemann Zeta Function ◽  
Critical Line ◽  
The Riemann Zeta Function ◽  
Riemann Zeta
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