Results 21 to 30 of about 5,905,142 (136)
Hurwitz Zeta Function Is Prime [PDF]
, 2023 We proved that the Hurwitz zeta function is prime.
Karikovas, Erikas, +7 more
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Joint universality of some zeta-functions. I
Lietuvos Matematikos Rinkinys, 2010 In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė +1 more
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A discrete limit theorem for the periodic Hurwitz zeta-function
Lietuvos Matematikos Rinkinys, 2015 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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On mixed joint discrete universality for a class of zeta-functions: a further generalization
Mathematical Modelling and Analysis, 2020 We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under ...
Roma Kačinskaitė, Kohji Matsumoto
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A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
Mathematical Modelling and Analysis, 2017 In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė +2 more
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A Weighted Universality Theorem for Periodic Zeta-Functions
Mathematical Modelling and Analysis, 2017 The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė +2 more
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Some approximations with hurwitz zeta function [PDF]
, 2020 1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEYIn this paper, we focus on some approximations with Hurwitz zeta function.
Aygüneş, Aykut Ahmet
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On discrete value distribution of certain compositions
Mathematical Modelling and Analysis, 2019 In the paper, we obtain universality theorems and a lower estimate for the number of zeros for the composition F ζ (s, α; a, b) , where F is an operator in the space of analytic functions satisfying the Lipschitz type condition, and ζ (s, α; a, b) is a ...
Virginija Garbaliauskienė +2 more
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, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Yilmaz Simsek, Daeyeoul Kim
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Universality Theorems for Some Composite Functions
Mathematical Modelling and Analysis, 2016 In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis +3 more
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