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Joint Universality of the Zeta-Functions of Cusp Forms

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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Joint Universality in Short Intervals with Generalized Shifts for the Riemann Zeta-Function

Mathematics, 2022
In the paper, the simultaneous approximation of a tuple of analytic functions in the strip {s=σ+it∈C:1 ...
Antanas Laurinčikas
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Joint Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by the Gram Function II

Axioms, 2022
Let tτ be a solution to the equation θ(t)=(τ−1)π, τ>0, where θ(t) is the increment of the argument of the function π−s/2Γ(s/2) along the segment connecting points s=1/2 and s=1/2+it. tτ is called the Gram function.
Antanas Laurinčikas
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Generalized Universality for Compositions of the Riemann Zeta-Function in Short Intervals

Mathematics, 2023
In the paper, the approximation of analytic functions on compact sets of the strip {s=σ+it∈C∣1 ...
Antanas Laurinčikas, Renata Macaitienė
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On the Mishou Theorem for Zeta-Functions with Periodic Coefficients

Mathematics, 2023
Let a={am} and b={bm} be two periodic sequences of complex numbers, and, additionally, a is multiplicative. In this paper, the joint approximation of a pair of analytic functions by shifts (ζnT(s+iτ;a),ζnT(s+iτ,α;b)) of absolutely convergent Dirichlet ...
Aidas Balčiūnas, Mindaugas Jasas, Renata Macaitienė, Darius Šiaučiūnas   +3 more
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On joint universality for general Dirichlet series

Lietuvos Matematikos Rinkinys, 2004
There is not abstract.
Jonas Genys
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Joint universality of periodic zeta-functions with multiplicative coefficients. II

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, Darius Šiaučiūnas, Monika Tekorė   +2 more
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Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem [PDF]

, 2001
We write explicitly a transformation of the scattering phases reducing the problem of quantum chaotic scattering for systems with M statistically equivalent channels at nonideal coupling to that for ideal coupling.
B. Dietz, C. Itzykson, C.A. Engelbrecht, C.W.J. Beenakker, Dmitry V. Savin, E.P. Wigner, F.T. Smith, Hans-Jürgen Sommers, J.J.M. Verbaarschot, K.B. Efetov, L.K. Hua, M. Glück, N. Lehmann, N. Lehmann, P.A. Mello, P.W. Brouwer, P.W. Brouwer, P.W. Brouwer, T. Guhr, V.A. Gopar, V.A. Gopar, V.L. Lyuboshitz, V.L. Lyuboshitz, V.L. Lyuboshitz, V.V. Sokolov, V.V. Sokolov, W.A. Friedman, Y.V. Fyodorov, Y.V. Fyodorov, Y.V. Fyodorov, Yan V. Fyodorov   +30 more
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Joint Discrete Approximation of Analytic Functions by Shifts of the Riemann Zeta-Function Twisted by Gram Points

Mathematics, 2023
Let θ(t) denote the increment of the argument of the product π−s/2Γ(s/2) along the segment connecting the points s=1/2 and s=1/2+it, and tn denote the solution of the equation θ(t)=(n−1)π, n=0,1,…. The numbers tn are called the Gram points. In this paper,
Antanas Laurinčikas
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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, Antanas Laurinčikas, Brigita Žemaitienė   +2 more
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