Results 11 to 20 of about 5,624,176 (134)

Universality theorems for the periodic Hurwitz zeta-function [PDF]

, 2018
Periodinė Hurvico dzeta funcija yra klasikinės Hurvico dzeta funkcijos apibendrinimas. Ji yra apibrėžiama priklausoma nuo parametro Dirichlė eilute su periodiniais koeficientais. Disertacijoje yra gautos teoremos apie plačios analizinių funkcijų klasės aproksimavimą periodinės Hurvico dzeta funkcijos postūmiais.
Mochov, Dmitrij,
openaire   +2 more sources

Value distribution of Lerch and periodic Hurwitz Zeta-functions [PDF]

, 2018
In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function. To get better understanding of the zero and a-value distribution of the periodic Hurwitz zeta-function we find the asymptotic formula for the number of nontrivial zeros
Tamošiūnas, Rokas,
openaire   +2 more sources

A JOINT UNIVERSALITY THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2008
AbstractWe prove a joint universality theorem in the Voronin sense for the periodic Hurwitz zeta-functions.
Javtokas, A., Laurinčikas, A.
openaire   +1 more source

Joint discrete approximation of a pair of analytic functions by periodic zeta-functions

Mathematical Modelling and Analysis, 2020
In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas, Virginija Garbaliauskienė, Julija Karaliūnaitė, Renata Macaitienė, Jurgita Petuškinaitė, Audronė Rimkevičienė   +5 more
doaj   +1 more source

A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions

Mathematics, 2022
The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė, Benjaminas Togobickij   +1 more
doaj   +1 more source

Moments of the Dedekind zeta function [PDF]

, 2013
We study analytic aspects of the Dedekind zeta function of a Galois extension. Specifically, we are interested in its mean values. In the first part of this thesis we give a formula for the second moment of the Dedekind zeta function of a quadratic ...
Heap, Winston
core   +6 more sources

Hurwitz Zeta Function Is Prime [PDF]

, 2023
We proved that the Hurwitz zeta function is prime.
Karikovas, Erikas,, Garunkštis, Ramūnas,, Šimėnas, Raivydas,, Marius Dundulis, Raivydas Šimėnas, Ramūnas Garunkštis, Erikas Karikovas, Dundulis, Marius,   +7 more
core   +1 more source

Vanishing of the integral of the Hurwitz zeta function [PDF]

, 2002
A proof is given that the improper Riemann integral of δ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with R(s) < 1.
Kevin A. Broughan, Broughan, Kevin A.
core   +1 more source

Joint universality of some zeta-functions. I

Lietuvos Matematikos Rinkinys, 2010
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė, Darius Šiaučiūnas   +1 more
doaj   +1 more source

On Evaluation of Riemann Zeta function ζ(s) [PDF]

, 2002
In this paper, by using Fourier series theory, several summing formulae for Riemann Zeta function ζ(s) and Dirichlet series are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core   +6 more sources