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The Hurwitz Zeta Function and the Lerch Zeta Function
2017In 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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Hurwitz Type Multiple Genocchi Zeta Function
AIP Conference Proceedings, 2009Main purpose of this paper is to construct higher‐order w‐q‐Genocchi numbers and polynomials by using p‐adic q‐deformed fermionic integral on Zp. We derive some interesting identities related to higher‐order w‐q‐Genocchi numbers and polynomials. We also construct Hurwitz type multiple w‐Genocchi zeta function which interpolates these polynomials at ...
Hacer Ozden +4 more
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On Joint Universality of the Riemann and Hurwitz Zeta-Functions
Mathematical Notes, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New Aspects of Universality of Hurwitz Zeta-Functions
Analysis Mathematica, 2023Let \(D =\{ s \in \mathbb{C} : 1/2 < \sigma < 1\}.\) 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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Inequalities for the Hurwitz zeta function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000Let 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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On the Hurwitz Zeta Functions with Algebraic Irrational Parameter
Mathematical Notes, 2019Following notations and definitions used for the universality in Voronin's sense property, denote by \(K\) a compact subset of the strip \(D:=\{s \in \mathbb{C}: 1/2 < \sigma
Balčiūnas, Aidas +2 more
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The Riemann Zeta Function and the Hurwitz Zeta Function
2022Anthony A. Ruffa, Bourama Toni
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ON POLYLOGARITHMS, HURWITZ ZETA FUNCTIONS, AND THE KUBERT IDENTITIES
1983This very interesting and rich paper deals with classical analytic functions put in a new light, using modern techniques. It deals with the Hurwitz zeta-function \[ \zeta_{1- s}(x)=\sum^{\infty}_{n=0}(n+x)^{s-1} \] and the Fourier series (vid polylog) \(\ell_ s(x)=\sum e^{2\pi inx}n^{-s}\). Both functions are special cases of Lerch zeta-function. There
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PERIOD DEFORMATIONS OF MULTIPLE HURWITZ ZETA FUNCTIONS
International Journal of Mathematics, 2007We 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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