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The inverses of tails of the Riemann zeta function [PDF]
Journal of Inequalities and Applications, 2018 We present some bounds of the inverses of tails of the Riemann zeta function on ...
Donggyun Kim, Kyunghwan Song
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Summability methods based on the Riemann Zeta function [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
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Quantum Spin Chains and Riemann Zeta Function with Odd Arguments [PDF]
, 2001 Riemann zeta function is an important object of number theory. It was also used for description of disordered systems in statistical mechanics. We show that Riemann zeta function is also useful for the description of integrable model.
Berruto F +23 more
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Riemann hypothesis and Zeta-Function
Bibechana, 2018 No abstract available.
Mani Raj Bhattrai
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On the Functional Independence of the Riemann Zeta-Function
Mathematical Modelling and Analysis, 2023 In 1973, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i.e., that ζ(s) and its derivatives do not satisfy a certain equation with continuous functions. In the paper, we obtain a joint version of the Voronin theorem.
Virginija Garbaliauskienė +2 more
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On the Riemann zeta function [PDF]
Bulletin of the American Mathematical Society, 1923 C. F. Craig
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On Maslanka's Representation for the Riemann Zeta Function [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 A rigorous proof is given of the hypergeometric-like representation of the Riemann zeta function 𝜁(𝑠) discovered by Maslanka as a series of Pochhamer polynomials with coefficients depending on the values of 𝜁 at the positive even integers.
Luis Báez-Duarte
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Four Variants of Riemann Zeta Function
Mathematics, 2022 By means of the generating function method and Dougall’s formulae for bilateral hypergeometric series, we examine four classes of infinite series, which may be considered as variants of Riemann zeta function. Several summation formulae are established in
Nadia N. Li, Wenchang Chu
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The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
Journal of Nigerian Society of Physical Sciences, 2022 The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch +2 more
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Amplitudes and the Riemann Zeta Function [PDF]
Physical Review Letters, 2021 Physical properties of scattering amplitudes are mapped to the Riemann zeta function. Specifically, a closed-form amplitude is constructed, describing the tree-level exchange of a tower with masses $m_n^2 = _n^2$, where $ \left(\frac{1}{2} \pm i _n\right) = 0$.
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