Results 31 to 40 of about 5,615,595 (266)

Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications

Mathematical Modelling and Analysis, 2011
We study the sequence of nontrivial zeros of the Riemann zeta-function with respect to sequences of zeros of other related functions, namely, the Hurwitz zeta-function and the derivative of Riemann's zeta-function.
Ramūnas Garunkštis, Joern Steuding
doaj   +1 more source

On discrete value distribution of certain compositions

Mathematical Modelling and Analysis, 2019
In the paper, we obtain universality theorems and a lower estimate for the number of zeros for the composition F ζ (s, α; a, b) , where F is an operator in the space of analytic functions satisfying the Lipschitz type condition, and ζ (s, α; a, b) is a ...
Virginija Garbaliauskienė, Julija Karaliūnaitė, Renata Macaitienė   +2 more
doaj   +1 more source

One estimate related to the periodic zeta-function

Lietuvos Matematikos Rinkinys, 2010
An estimate for the error term of the fourth moment of the periodic zetafunction is obtained.
Sondra Černigova
doaj   +1 more source

On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter

Mathematical Modelling and Analysis, 2023
In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions.
Aidas Balčiūnas, Antanas Laurinčikas, Mindaugas Stoncelis   +2 more
doaj   +1 more source

A direct evaluation of the periods of the Weierstrass zeta function [PDF]

ANNALI DELL'UNIVERSITA' DI FERRARA, 2013
10 pages, minor ...
openaire   +2 more sources

A note on the value-distribution of the periodic zeta-function

Lietuvos Matematikos Rinkinys, 2000
There is not abstract.
Audrius Kačėnas, Antanas Laurinčikas   +1 more
doaj   +3 more sources

A discrete version of the Mishou theorem related to periodic zeta-functions

Mathematical Modelling and Analysis
In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts and of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz ...
Aidas Balčiūnas, Mindaugas Jasas, Audronė Rimkevičienė   +2 more
doaj   +1 more source

A weighted limit theorem for periodic Hurwitz zeta-function

Lietuvos Matematikos Rinkinys, 2012
In the paper, a weighted limit theorem for weakly convergent probability measures on the complex plane for the periodic Hurwitz zeta function is obtained.
Oleg Lukašonok
doaj   +1 more source

Discrete universality of absolutely convergent Dirichlet series

Mathematical Modelling and Analysis, 2022
In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained.
Mindaugas Jasas, Antanas Laurinčikas, Mindaugas Stoncelis, Darius Šiaučiūnas   +3 more
doaj   +1 more source

Functional equations for zeta functions of groups and rings [PDF]

, 2010
We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
core   +1 more source