Results 11 to 20 of about 1,544,227 (288)
The Joint Universality for L-Functions of Elliptic Curves [PDF]
Nonlinear Analysis, 2004 A joint universality theorem in the Voronin sense for L-functions of elliptic curves over the field of rational numbers is proved.
V. Garbaliauskienė
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Joint universality of periodic zeta-functions with multiplicative coefficients. II [PDF]
Nonlinear Analysis, 2021 In the paper, a joint discrete universality theorem for periodic zeta-functions with multiplicative coefficients on the approximation of analytic functions by shifts involving the sequence f kg of imaginary parts of nontrivial zeros of the Riemann zeta ...
Antanas Laurinčikas +2 more
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Joint Universality of the Zeta-Functions of Cusp Forms [PDF]
Mathematics, 2021 Let F be the normalized Hecke-eigen cusp form for the full modular group and ζ(s,F) be the corresponding zeta-function. In the paper, the joint universality theorem on the approximation of a collection of analytic functions by shifts (ζ(s+ih1τ,F),…,ζ(s ...
Renata Macaitienė
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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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Joint universality of periodic zeta-functions with multiplicative coefficients [PDF]
Nonlinear Analysis, 2020 The periodic zeta-function is defined by the ordinary Dirichlet series with periodic coefficients. In the paper, joint universality theorems on the approximation of a collection of analytic functions by nonlinear shifts of periodic zeta-functions with ...
Antanas Laurinčikas, Monika Tekorė
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On Joint Universality in the Selberg–Steuding Class
Mathematics, 2023 The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
Roma Kačinskaitė +2 more
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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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Joint Discrete Universality in the Selberg–Steuding Class
Axioms, 2023 In the paper, we consider the approximation of analytic functions by shifts from the wide class S˜ of L-functions. This class was introduced by A. Selberg, supplemented by J. Steuding, and is defined axiomatically.
Roma Kačinskaitė +2 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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Joint universality of the Riemann zeta-function and Lerch zeta-functions [PDF]
Nonlinear Analysis, 2013 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.
Antanas Laurinčikas +1 more
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