Results 11 to 20 of about 5,905,142 (136)
Joint discrete approximation of a pair of analytic functions by periodic zeta-functions [PDF]
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 +5 more
doaj +2 more sources
A mixed joint universality theorem for zeta‐functions [PDF]
Mathematical Modelling and Analysis, 2010 In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys +3 more
doaj +2 more sources
A Mixed Joint Universality Theorem for Zeta-Functions. II [PDF]
Mathematical Modelling and Analysis, 2014 In the paper, a joint universality theorem on the approximation of analytic functions for zeta-function of a normalized Hecke eigen cusp form and a collection of periodic Hurwitz zeta-functions with algebraically independent parameters is obtained.
Vaida Pocevičienė +1 more
doaj +4 more sources
Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications [PDF]
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 +2 more sources
A JOINT LIMIT THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS WITH ALGEBRAIC IRRATIONAL PARAMETERS [PDF]
Mathematical Modelling and Analysis, 2013 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.
Genienė, Danutė +1 more
openaire +4 more sources
On shifts of periodic zeta-function in short intervals
Mathematical Modelling and AnalysisThe periodic zeta-function $\zeta(s; a)$, $s = \sigma + it$, $a = \{a_m \in \mathbb{C} : m \in \mathbb{N}\}$, in the half-plane $\sigma > 1$ is defined by Dirichlet series with periodic coefficients $a_m$, and has the meromorphic continuation to the ...
Marius Grigaliūnas +2 more
doaj +2 more sources
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
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 +1 more
doaj +1 more source