A joint limit theorem for compactly regenerative ergodic transformations

2011 ◽  
Vol 203 (1) ◽  
pp. 33-45 ◽  
Author(s):  
David Kocheim ◽  
Roland Zweimüller
Keyword(s):  
Limit Theorem ◽  
Ergodic Transformations ◽  
Joint Limit Theorem ◽  
Joint Limit

On Joint Distribution of General Dirichlet Series

2003 ◽  
Vol 8 (2) ◽  
pp. 27-39 ◽  
Author(s):  
J. Genys ◽  
A. Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Weak Convergence ◽  
Dirichlet Series ◽  
Joint Distribution ◽  
Meromorphic Functions ◽  
General Dirichlet Series ◽  
Joint Limit Theorem ◽  
Space Of Meromorphic Functions ◽  
Weaker Conditions ◽  
Joint Limit

In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].

scholarly journals A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function

2007 ◽  
Vol 12 (4) ◽  
pp. 503-510
Author(s):  
A. Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Weak Convergence ◽  
Laplace Transforms ◽  
Probability Measures ◽  
Convergence Of Probability Measures ◽  
The Riemann Zeta Function ◽  
Riemann Zeta ◽  
Joint Limit Theorem ◽  
Riemann Zetafunction ◽  
Joint Limit

In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Laplace transforms of the Riemann zetafunction is obtained.

scholarly journals A JOINT LIMIT THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS WITH ALGEBRAIC IRRATIONAL PARAMETERS

2013 ◽  
Vol 18 (1) ◽  
pp. 149-159
Author(s):  
Danutė Genienė ◽  
Audronė Rimkevičienė
Keyword(s):  
Limit Theorem ◽  
Zeta Functions ◽  
Probability Measures ◽  
Joint Limit Theorem ◽  
Joint Limit

In the paper, a joint limit theorem for weakly convergent probability measures in ℂ r for periodic Hurwitz zeta-functions with algebraic irrational parameters satisfying certain independence conditions is obtained.

scholarly journals A JOINT ELLIOTT TYPE THEOREM FOR TWISTS OF L-FUNCTIONS OF ELLIPTIC CURVES

2016 ◽  
Vol 21 (6) ◽  
pp. 752-761
Author(s):  
Virginija Garbaliauskienė ◽  
Antanas Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Elliptic Curves ◽  
Analytic Functions ◽  
Type Theorem ◽  
Dirichlet Character ◽  
Probability Measures ◽  
Space Of Analytic Functions ◽  
Limit Measure ◽  
Joint Limit Theorem ◽  
Joint Limit

We consider a collection of L-functions of elliptic curves twisted by a Dirichlet character modulo q (q is a prime number), and prove for this collection a joint limit theorem for weakly convergent probability measures in the space of analytic functions as q → ∞. The limit measure is given explicitly.

scholarly journals A joint limit theorem for zeta-functions of newforms

2012 ◽  
Vol 53 ◽  
Author(s):  
Gintautas Misevičius
Keyword(s):  
Limit Theorem ◽  
Complex Plane ◽  
Zeta Functions ◽  
Joint Limit Theorem ◽  
Joint Limit

In the paper a joint limit theorem for zeta-functions of newforms on the complex plane is proved.

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