Results 21 to 30 of about 1,544,227 (288)
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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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 +3 more
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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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On joint universality for general Dirichlet series
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Jonas Genys
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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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Nonlinear Analysis, 2020 In the paper, joint discrete universality theorems on the simultaneous approximation of a collection of analytic functions by a collection of discrete shifts of zeta-functions attached to normalized Hecke-eigen cusp forms are obtained.
Antanas Laurinčikas +2 more
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Joint universality of some zeta-functions. I
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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Approximation by Shifts of Compositions of Dirichlet L-Functions with the Gram Function
Mathematics, 2020 In this paper, a joint approximation of analytic functions by shifts of Dirichlet L-functions L ( s + i a 1 t τ , χ 1 ) , … , L ( s + i a r t τ , χ r ) , where a 1 , … , a r are non-zero real algebraic numbers linearly ...
Artūras Dubickas +2 more
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Joint Universal Syntactic and Semantic Parsing [PDF]
Transactions of the Association for Computational Linguistics, 2021 While numerous attempts have been made to jointly parse syntax and semantics, high performance in one domain typically comes at the price of performance in the other. This trade-off contradicts the large body of research focusing on the rich interactions at the syntax–semantics interface. We explore multiple model architectures that allow us to exploit
Elias Stengel-Eskin +4 more
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