Joint discrete approximation of a pair of analytic functions by periodic zeta-functions [PDF]
Mathematical Modelling and Analysis, 2020 In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas +5 more
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A mixed joint universality theorem for zeta‐functions [PDF]
Mathematical 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
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Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications [PDF]
Mathematical 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
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A Mixed Joint Universality Theorem for Zeta-Functions. II [PDF]
Mathematical 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
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A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions [PDF]
Mathematics, 2022 The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė +1 more
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A discrete version of the Mishou theorem related to periodic zeta-functions [PDF]
Mathematical Modelling and AnalysisIn 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 +2 more
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A JOINT LIMIT THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS WITH ALGEBRAIC IRRATIONAL PARAMETERS [PDF]
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 +1 more
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On shifts of periodic zeta-function in short intervals [PDF]
Mathematical Modelling and AnalysisThe 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 +2 more
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Joint universality of some zeta-functions. I [PDF]
Lietuvos Matematikos Rinkinys, 2010 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.
Santa Račkauskienė +1 more
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On mixed joint discrete universality for a class of zeta-functions: a further generalization [PDF]
Mathematical 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
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