Results 21 to 30 of about 99 (93)

Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter

Siberian Mathematical Journal, 2018
Voronin's theorem from 1975 states that the Riemann zeta function is universal in the sense that its shifts approximate a wide class of analytic functions. More precisely, let \(\mathscr{K}\) be the class of compact subsets of the strip \(D=\left\{s \in \mathbb{C}: \frac{1}{2}
Laurinčikas, A., Macaitienė, R., Mochov, D., Šiaučiūnas, D.   +3 more
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Universality Theorems for Some Composite Functions

Mathematical Modelling and Analysis, 2016
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis, Donatas Jurgaitis, Antanas Laurinčikas, Renata Macaitienė   +3 more
doaj   +1 more source

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 JOINT LIMIT THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS WITH ALGEBRAIC IRRATIONAL PARAMETERS

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, Rimkevičienė, Audronė   +1 more
openaire   +4 more sources

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   +1 more source

Canonical heights, periods and the Hurwitz zeta function

61 ...
Andreasson, Rolf, Berman, Robert J.
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Joint approximation of analytic functions by shifts of the Riemann and periodic Hurwitz zeta-functions

Applicable Analysis and Discrete Mathematics, 2018
We present some new results on the simultaneous approximation with given accuracy, uniformly on compact subsets of the critical strip, of a collection of analytic functions by discrete shifts of the Riemann and periodic Hurwitz zeta-functions. We prove that the set of such shifts has a positive lower density.
Laurincikas, Antanas, Macaitiene, Renata
openaire   +2 more sources

A generalized limit theorem for the periodic Hurwitz zeta-function

Chebyshevskii sbornik, 2019
The paper deals with the periodic Hurwitz zeta function \(\zeta (s,a,\{ a_{n} \} )=\sum _{n=0}^{\infty }\frac{a_{n} }{(n+a)^{s} } \), \(a>0,\; Res>1\), where \(\{ a_{n} \} \)is a periodic sequence. The author proves a generalized limit theorem for this function.
openaire   +3 more sources

Asymptotic Analysis of Regular Sequences. [PDF]

Algorithmica, 2020
Heuberger C, Krenn D.
europepmc   +1 more source

Joint universality for periodic Hurwitz zeta-functions

, 2009
Magistro darbe yra nagrinėjamas Hurvico dzeta funkcijų rinkinio jungtinis universalumas. Yra įrodytos dvi jungtinės universalumo teoremos. Pirmoji teorema tvirtina, kad jei aibė L yra tiesiškai nepriklausoma virš racionaliųjų skaičių kūno, tai periodinės Hurvico dzeta funkcijos yra universalios. Ši teorema žymiai susilpnina sąlygas, kurioms esant, buvo
openaire   +2 more sources