Results 21 to 30 of about 5,624,176 (134)

A mixed joint universality theorem for zeta‐functions

open access: yesMathematical 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   +1 more source

A Mixed Joint Universality Theorem for Zeta-Functions. II

open access: yesMathematical 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   +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

Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications

open access: yesMathematical 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   +1 more source

The holomorphic flow of the Riemann zeta function [PDF]

open access: yes, 2003
The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
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

On mixed joint discrete universality for a class of zeta-functions: a further generalization

open access: yesMathematical Modelling and Analysis, 2020
We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under ...
Roma Kačinskaitė, Kohji Matsumoto
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

Some approximations with hurwitz zeta function [PDF]

open access: yes, 2020
1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEYIn this paper, we focus on some approximations with Hurwitz zeta function.
Aygüneş, Aykut Ahmet
core   +1 more source

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