Results 201 to 210 of about 7,133 (231)

New Aspects of Universality of Hurwitz Zeta-Functions

Analysis Mathematica, 2023
Let \(D =\{ s \in \mathbb{C} : 1/2 < \sigma < 1\}.\) Denote by \(\mathcal{K}\) the class of compact subsets of the strip \(D\) with connected complements, and by \(H(K)\) with \(K \in \mathcal{K}\) the class of continuous functions on \(K\) that are analytic in the interior of \(K\).
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PERIOD DEFORMATIONS OF MULTIPLE HURWITZ ZETA FUNCTIONS

International Journal of Mathematics, 2007
We study continuous period deformations of the multiple Hurwitz zeta functions and their derivatives. Moreover we investigate period deformations of the generalized multiple gamma and sine functions and give applications.
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The Hurwitz Zeta Function and the Lerch Zeta Function

2017
In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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Inequalities for the Hurwitz zeta function

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000
Let be the Hurwitz zeta function. Furthermore, let p > 1 and α ≠ 0 be real numbers and n ≥ 2 be an integer. We determine the best possible constants a(p, α, n), A(p, α, n), b(p, n) and B(p, n) such that the inequalities and hold for all positive real numbers x1,…,xn.
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Limit formulas for multiple Hurwitz zeta functions

Journal of Number Theory, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurokawa, Nobushige, Tanaka, Hidekazu
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On Discrete Universality of the Hurwitz Zeta-Function

Results in Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION

International Journal of Number Theory, 2012
It 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, 2008
We 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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Joint discrete universality of Hurwitz zeta functions

Sbornik: Mathematics, 2014
We 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

2022
Anthony A. Ruffa, Bourama Toni
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