Results 11 to 20 of about 5,895,830 (271)

On shifts of periodic zeta-function in short intervals

Mathematical Modelling and Analysis
The 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, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
doaj   +5 more sources

On the periodic Hurwitz zeta-function. [PDF]

Hardy-Ramanujan Journal, 2006
In this paper, an universality theorem in the Voronin sense for the periodic Hurwitz zeta-function is ...
Javtokas, A, Laurinčikas, A
core   +5 more sources

The Values of the Periodic Zeta-Function at the Nontrivial Zeros of Riemann’s Zeta-Function [PDF]

Symmetry, 2021
In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-function at the nontrivial zeros of the Riemann zeta-function (up to some height) which are symmetrical on the real line and the critical line.
Jörn Steuding, Saeree Wananiyakul, Wananiyakul, Saeree, Tongsomporn, Janyarak, Steuding, Jörn, Janyarak Tongsomporn   +5 more
core   +3 more sources

On the zeta function of a periodic-finite-type shift [PDF]

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2013
Periodic-finite-type shifts (PFT's) are sofic shifts which forbid the appearance of finitely many pre-specified words in a periodic manner. The class of PFT's strictly includes the class of shifts of finite type (SFT's).
Kashyap, Navin, Manada, Akiko
core   +8 more sources

A Weighted Universality Theorem for Periodic Zeta-Functions

Mathematical 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, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +5 more sources

On the mean square of the periodic zeta-function. II [PDF]

Nonlinear Analysis, 2015
In the paper, the error term in the Atkinson type formula for the periodic zeta-function in the critical strip is considered, and an asymptotic formula for its mean square is obtained. This formula generalizes that proved for the Riemann zeta-function.
Sondra Černigova, Antanas Laurinčikas
doaj   +2 more sources

On the periodic zeta-function with rational parameter

Lietuvos Matematikos Rinkinys, 2011
We obtain an asymptotic formula with estimated error term for the fourth power moment of the periodic zeta-function with rational parameter.
Sondra Černigova
doaj   +3 more sources

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

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   +2 more sources

On the mean square for the periodic zeta–function on the critical line

Lietuvos Matematikos Rinkinys, 2001
There is not abstract.
Darius Šiaučiūnas
doaj   +6 more sources

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

Mathematical 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, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +3 more sources