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Limit formulas for multiple Hurwitz zeta functions
Journal of Number Theory, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurokawa, Nobushige, Tanaka, Hidekazu
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ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION
International Journal of Number Theory, 2012It is known that the Hurwitz zeta-function ζ(s, α) with transcendental or rational parameter α is universal in the sense that its shifts ζ(s + iτ, α), τ ∈ ℝ, approximate with a given accuracy any analytic function uniformly on compact subsets of the strip D = {s ∈ ℂ : ½ < σ < 1}. Let H(D) denote the space of analytic functions on D equipped with
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Joint universality for periodic Hurwitz zeta-functions
Izvestiya: Mathematics, 2008We prove a joint universality theorem for a collection of periodic Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers.
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On the Hurwitz Zeta-Function with Algebraic Irrational Parameter. II
Proceedings of the Steklov Institute of Mathematics, 2021A. Laurinčikas
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Joint discrete universality of Hurwitz zeta functions
Sbornik: Mathematics, 2014We obtain a joint discrete universality theorem for Hurwitz zeta functions. Here the parameters of zeta functions and the step of shifts of these functions approximating a given family of analytic functions are connected by some condition of linear independence. Nesterenko's theorem gives an example satisfying this condition.
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The Riemann Zeta Function and the Hurwitz Zeta Function
2022Anthony A. Ruffa, Bourama Toni
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Universality of the Hurwitz zeta-function in short intervals
Boletín de la Sociedad Matematica MexicanaAntanas Laurinčikas
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