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Start Over Topic mathematics Topic limit theorem Language lithuanian
9 results

1. Rate of convergence in the transfer theorem for min-scheme

Author

Algimantas Aksomaitis

Subjects
min-scheme, limit theorem, rate of convergence, Mathematics, QA1-939
Abstract

In this paper non-uniform estimate of convergence rate in the min-scheme is obtained. Presented results make the estimates, given in [1] and [2], more precise.

Published
2020
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2. A discrete limit theorem for the periodic Hurwitz zeta-function. II

Author

Audronė Rimkevičienė

Subjects
Hurwitz zeta-function, limit theorem, probability measure, weak convergence, Mathematics, QA1-939
Abstract

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.

Published
2016
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3. A discrete limit theorem for the periodic Hurwitz zeta-function

Author

Audronė Rimkevičienė

Subjects
Hurwitz zeta-function, limit theorem, probability measure, weak convergence, Mathematics, QA1-939
Abstract

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.

Published
2015
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5. Joint universality of some zeta-functions. I

Author

Santa Račkauskienė and Darius Šiaučiūnas

Subjects
joint universality, limit theorem, periodic Hurwitz zeta-function, Riemann zeta function, space of analytic functions, Mathematics, QA1-939
Abstract

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.

Published
2010
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8. Joint universality of the Riemann zeta-function and Lerch zeta-functions

Author

Antanas Laurinčikas and Renata Macaitienė

Subjects
Lerch zeta-function, Mathematics::General Mathematics, Applied Mathematics, Mathematics::Number Theory, Riemann zeta-function, limit theorem, universality, lcsh:QA299.6-433, Universality theorem, lcsh:Analysis, Riemann zeta function, Universality (dynamical systems), symbols.namesake, Riemann hypothesis, symbols, Analysis, Mathematical physics, Mathematics
Abstract

In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.

Published
2013

9. Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions

Author

Kęstutis Janulis, Renata Macaitienė, Antanas Laurinčikas, and Darius Šiaučiūnas

Subjects
Polylogarithm, Dirichlet L-function, Class number formula, Riemann zeta function, Combinatorics, Dirichlet kernel, symbols.namesake, Modeling and Simulation, QA1-939, symbols, Hurwitz matrix, limit theorem, periodic Hurwitz zeta-function, Hurwitz polynomial, universality, Mathematics, Analysis, Dirichlet series, space of analytic functions
Abstract

In the paper, we prove that every system of analytic functions can be approximated simultaneously uniformly on compact subsets of some region by a collection consisting of shifts of Dirichlet L-functions with pairwise non-equivalent characters and periodic Hurwitz zeta-functions with parameters algebraically independent over the field of rational numbers.

Published
2012