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On a problem analogues to Lehmer’s and Hurwitz zeta-function

Applied Mathematics and Computation, 2015
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Qing Tian, Shujuan Cao, Chunxiao Yang
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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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On Discrete Universality of the Hurwitz Zeta-Function

Results in Mathematics, 2017
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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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On Joint Universality of the Riemann and Hurwitz Zeta-Functions

Mathematical Notes, 2022
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Hurwitz Type Multiple Genocchi Zeta Function

AIP Conference Proceedings, 2009
Main 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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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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On the Hurwitz Zeta Functions with Algebraic Irrational Parameter

Mathematical Notes, 2019
Following 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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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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