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On the Hurwitz—Lerch zeta-function
Aequationes Mathematicae, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanemitsu, Shigeru +2 more
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Zeros of the Riemann zeta-function in the discrete universality of the Hurwitz zeta-function
Studia scientiarum mathematicarum Hungarica (Print), 2020Let 0 < γ1 < γ2 < ··· ⩽ ··· be the imaginary parts of non-trivial zeros of the Riemann zeta-function. In the paper, we consider the approximation of analytic functions by shifts of the Hurwitz zeta-function ζ(s + iγkh, α), h > 0, with parameter α such ...
A. Laurinčikas
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Sums Involving the Hurwitz Zeta Function
The Ramanujan Journal, 2001Let as usual \(\zeta(s,\alpha)\) be the Hurwitz zeta-function and \(\Gamma(s)\) be the Euler gamma function. Let \(\Re\alpha>0\), \(\Re p>0\), \(\Re q>0\) and \(|z|
Kanemitsu, Shigeru +2 more
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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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, 2020
Using the Hurwitz zeta and the alternating Hurwitz zeta function, ζ ( s , a ) and ζ ⁎ ( s , a ) , it was shown through classical analysis and in a straightforward and unified manner that a s ζ ( s , a ) with a > 0 and s > 1 is strictly log-convex in s on
D. Cvijovic
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Using the Hurwitz zeta and the alternating Hurwitz zeta function, ζ ( s , a ) and ζ ⁎ ( s , a ) , it was shown through classical analysis and in a straightforward and unified manner that a s ζ ( s , a ) with a > 0 and s > 1 is strictly log-convex in s on
D. Cvijovic
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Jackson’s integral of the Hurwitz zeta function
Rendiconti del Circolo Matematico di Palermo, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurokawa, Nobushige +2 more
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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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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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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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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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