Results 21 to 30 of about 217 (131)

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

open access: yes, 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]

open access: yes, 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]

open access: yesBulletin 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

Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs [PDF]

open access: yes, 2015
We study the leaf-to-leaf distances on full and complete m-ary graphs using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical formulae for the sum of all paths for arbitrary leaf-to-leaf distance r as
Römer, Rudolf A.   +2 more
core   +1 more source

Mixed joint universality for Selberg class L-functions and periodic Hurwitz zeta functions. [PDF]

open access: yes, 2020
The so-called mixed joint universality was initiated by H. Mishou who in 2007 obtained the joint universality for the Riemann and Hurwitz zeta functions.
Macaitienė, Renata,, Jasas, Mindaugas,
core   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2015
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II

open access: yesMathematical Modelling and Analysis, 2017
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė   +2 more
doaj   +1 more source

A Weighted Universality Theorem for Periodic Zeta-Functions

open access: yesMathematical Modelling and Analysis, 2017
The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė   +2 more
doaj   +1 more source

The periodic zeta covariance function for Gaussian process regression [PDF]

open access: yes, 2022
I consider the Lerch-Hurwitz or periodic zeta function as covariance function of a periodic continuous-time stationary stochastic process. The function can be parametrized with a continuous index $\nu$ which regulates the continuity and differentiability
Petrillo, Giacomo
core   +1 more source

On discrete value distribution of certain compositions

open access: yesMathematical 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   +2 more
doaj   +1 more source

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