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An approximation of the Hurwitz zeta function by a finite sum
Lietuvos Matematikos Rinkinys, 2003 We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t| ≤ π x. Then ζ(s, α) = ∑0 ≤ n ≤ x 1/(n + α)s +{ (x + α)1−s}/(s − 1) + Θ ({7√2π−1 + 3}/xσ).
Ramūnas Garunkštis
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On the Mishou Theorem for Zeta-Functions with Periodic Coefficients
Mathematics, 2023 Let a={am} and b={bm} be two periodic sequences of complex numbers, and, additionally, a is multiplicative. In this paper, the joint approximation of a pair of analytic functions by shifts (ζnT(s+iτ;a),ζnT(s+iτ,α;b)) of absolutely convergent Dirichlet ...
Aidas Balčiūnas +3 more
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Analytical properties of the Hurwitz–Lerch zeta function
Advances in Difference Equations, 2020 In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem +3 more
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Note on the Hurwitz-Lerch Zeta Function of Two Variables [PDF]
, 2020 Choi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094A number of generalized Hurwitz-Lerch zeta functions have been presented and investigated.
Yağcı, Oğuz +7 more
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On the distribution of zeros of the Hurwitz zeta-function [PDF]
Mathematics of Computation, 2006 Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz zeta-function ζ
Ramunas Garunkstis, Jörn Steuding
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LINEAR COMBINATIONS OF HURWITZ ZETA-FUNCTIONS
Kyushu Journal of Mathematics, 2022 As it is well known, the Hurwitz zeta-function, for \(\sigma>1\) and a parameter \(\alpha ...
STEUDING, Rasa, STEUDING, Jörn
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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 +1 more
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Joint discrete approximation of a pair of analytic functions by periodic zeta-functions
Mathematical Modelling and Analysis, 2020 In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas +5 more
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Self-approximation of Hurwitz Zeta-functions [PDF]
Functiones et Approximatio Commentarii Mathematici, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garunkštis, Ramūnas, Karikovas, Erikas
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Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs [PDF]
, 2015 We study the leaf-to-leaf distances on full and complete m-ary graphs using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical formulae for the sum of all paths for arbitrary leaf-to-leaf distance r as
Römer, Rudolf A. +2 more
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