Results 31 to 40 of about 36,426 (206)

Self-approximation of Hurwitz Zeta-functions [PDF]

Functiones et Approximatio Commentarii Mathematici, 2014
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Garunkštis, Ramūnas, Karikovas, Erikas
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A Series Representation for the Hurwitz–Lerch Zeta Function

Axioms, 2021
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Zeros of Hurwitz zeta functions [PDF]

Mathematics of Computation, 1976
All complex zeros of each Hurwitz zeta function are shown to lie in a vertical strip. Trivial real zeros analogous to those for the Riemann zeta function are found. Zeros of two particular Hurwitz zeta functions are calculated.
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The fourth moment of the Hurwitz zeta function [PDF]

Journal für die Reine und Angewandte Mathematik
We prove a sharp upper bound for the fourth moment of the Hurwitz zeta function ζ ⁢ ( s , α ) \zeta(s,\alpha) on the critical line when the shift parameter 𝛼 is irrational and of irrationality exponent strictly less than 3. As a consequence, we determine
W. Heap, Anurag Sahay
semanticscholar   +1 more source

On extended Hurwitz–Lerch zeta function

Journal of Mathematical Analysis and Applications, 2017
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Luo, Min-Jie, Parmar, Rakesh Kumar, Raina, Ravinder Krishna   +2 more
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Note on the Hurwitz zeta-function [PDF]

Proceedings of the American Mathematical Society, 1951
Received by the editors June 10, 1950. 1 This work is an offshoot of investigations carried out under the auspices of the Office of Naval Research, Contract N9-ONR90,000. 2 B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grbsse, Monatsberichte der Preussischeni Akademie der Wissenschaften (1859, 1860) pp. 671680. 3A.
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On an equivalent property of a reverse Hilbert-type integral inequality related to the extended Hurwitz-zeta function

Journal of Mathematical Inequalities, 2019
. We study some equivalent conditions of a reverse Hilbert-type integral inequality with a particular non-homogeneous kernel and a best possible constant factor related to the extended Hurwitz-zeta function.
M. Rassias, Bicheng Yang
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A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions

Mathematics, 2022
The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė, Benjaminas Togobickij   +1 more
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Zeros of the Hurwitz zeta function in the interval (0,1) [PDF]

, 2011
We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known
Schipani, Davide
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Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions [PDF]

, 2012
The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension.
Ram K. Saxena, Tibor Pogany
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