Results 1 to 10 of about 630 (179)
International Journal of Mathematics and Mathematical Sciences, 2004 We consider the modified q-analogue of Riemann zeta function which is defined by ζq(s)=∑n=1∞(qn(s−1)/[n]s ...
Taekyun Kim
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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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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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A stochastic interpretation of the Riemann zeta function. [PDF]
Proc Natl Acad Sci U S A, 1993 We give a stochastic process for which the terms of the Riemann zeta function occur as the probability distributions of the elementary random variables of the process.
Alexander KS, Baclawski K, Rota GC.
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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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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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Riemann’s zeta function and beyond [PDF]
Bulletin of the American Mathematical Society, 2003 In recent years L L -functions and their analytic properties have assumed a central role in number theory and automorphic ...
Gelbart, Stephen S., Miller, Stephen D.
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Riemann hypothesis and Zeta-Function
Bibechana, 2018 No abstract available.
Mani Raj Bhattrai
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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 $m_n^2 = μ_n^2$, where $ζ\left(\frac{1}{2} \pm iμ_n\right) = 0$.
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