Results 91 to 100 of about 3,466 (218)
Some computational formulas related the Riemann zeta-function tails
Journal of Inequalities and Applications, 2016 In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).
Hongmin Xu
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Extreme values of derivatives of the Riemann zeta function. [PDF]
Mathematika, 2022 Yang D.
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The inverse Riemann zeta function
, 2022 In this article, we develop a formula for an inverse Riemann zeta function such that for $w=\zeta(s)$ we have $s=\zeta^{-1}(w)$ for real and complex domains $s$ and $w$.
Kawalec, Artur
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Inequalities for Riemann’s zeta function
Portugaliae Mathematica, 2009 Let ζ and Λ be the Riemann zeta function and the von Mangoldt function, respectively. Further, let c > 0
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An inequality for the Selberg zeta-function, associated to the compact Riemann surface
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R.
Belovas Igoris
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A Zeta Function for Juggling Sequences
, 2012 We give a new generalization of the Riemann zeta function to the set of b-ball juggling sequences. We develop several properties of this zeta function, noting among other things that it is rational in b-s.
Klyve, Dominic +2 more
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The Nevanlinna Functions of the Riemann Zeta-Function
Journal of Mathematical Analysis and Applications, 1999 The author computes the Nevanlinna characteristic function, the Nevanlinna deficiencies for each \(a\) in \(\mathbb{C}\cup \{\infty\}\) and the Nevanlinna counting functions for the Riemann zeta-function. These results are of special interest because of the recent discovery of analogies between number theory and Nevanlinna theory.
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Joint universality of the Riemann zeta-function and Lerch zeta-functions
Nonlinear Analysis, 2013 In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.
Antanas Laurinčikas +1 more
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Some Convexity Properties of Dirichlet Series with Positive Terms
, 2005 Some basic results for Dirichlet series ψ with positive terms via log-convexity properties are pointed out. Applications for Zeta, Lambda and Eta functions are considered.
Cerone, Pietro, Dragomir, Sever S
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Fractional Order Riemann Zeta Factorial Function: A Recent Study
, 2021 The purpose of this article is to apply zeta factorial function theory to fractional order Riemann zeta ‐factorial function. Several formulae on the fractional order Riemann zeta factorial function can be obtained using the inverse principle of the ...
D. Arun +2 more
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