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On the Hurwitz—Lerch Zeta-Function
Aequationes Mathematicae, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Kanemitsu, M Yoshimoto
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New Inequalities for the Hurwitz Zeta Function
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2008 We establish various new inequalities for the Hurwitz zeta function.
Necdet Batir
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The Joint Value-Distribution of the Riemann Zeta Function and Hurwitz Zeta Functions
Lithuanian Mathematical Journal, 2007From the text: We investigate the joint value-distribution for the Riemann zeta function and Hurwitz zeta function attached with a transcendental real parameter. Especially, we establish the joint universality theorem for these two zeta functions. Theorem 1.
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Journal of Mathematical Analysis and Applications, 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 asζ(s,a) with a>0 and s>1 is strictly log-convex in s on (1,∞), whereas ...
Djurdje Cvijovic
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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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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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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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