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.

Value Distribution of General Dirichlet series. VI

2005 ◽  
Vol 10 (3) ◽  
pp. 235-246
Author(s):  
A. Laurinčikas
Keyword(s):  
Limit Theorem ◽  
Weak Convergence ◽  
Dirichlet Series ◽  
Complex Plane ◽  
Value Distribution ◽  
Probability Measures ◽  
General Dirichlet Series ◽  
New Class ◽  
Convergence Of Probability Measures

In the paper a limit theorem in the sense of weak convergence of probability measures on the complex plane for a new class of general Dirichlet series 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.

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

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.

JOINT WEIGHTED LIMIT THEOREMS FOR GENERAL DIRICHLET SERIES

2011 ◽  
Vol 16 (1) ◽  
pp. 39-51
Author(s):  
Jonas Genys ◽  
Antanas Laurinčikas
Keyword(s):  
Weak Convergence ◽  
Dirichlet Series ◽  
Limit Theorems ◽  
Random Element ◽  
Probability Measures ◽  
Limit Measure ◽  
Additional Hypothesis ◽  
General Dirichlet Series ◽  
Convergence Of Probability Measures ◽  
Weighted Limit

In the paper,two joint weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained. The first of them gives only the existence of the limit measure, while in the second theorem,under some additional hypothesis on the weight function, the explicit form of the limit measure is presented. Namely, the limit measure coincides with the distribution of some random element related to considered Dirichlet series.

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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