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Djurdje Cvijovic
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On the Hurwitz—Lerch zeta-function
Aequationes Mathematicae, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Kanemitsu
exaly +2 more sources
New inequalities for the Hurwitz zeta function
We establish various new inequalities for the Hurwitz zeta function.
Necdet Batir
exaly +7 more sources
On Universality of the Riemann and Hurwitz Zeta-Functions
Results in Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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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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On a problem analogues to Lehmer’s and Hurwitz zeta-function
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing Tian, Shujuan Cao, Chunxiao Yang
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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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On Discrete Universality of the Hurwitz Zeta-Function
Results in Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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