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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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Jensen polynomials for the Riemann zeta function and other sequences. [PDF]
Proc Natl Acad Sci U S A, 2019 Significance The Pólya–Jensen criterion for the Riemann hypothesis asserts that RH is equivalent to the hyperbolicity of certain Jensen polynomials for all degrees d≥1 and all shifts n.
Griffin M, Ono K, Rolen L, Zagier D.
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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(1/2±iμ_{n})=0.
Grant N. Remmen
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Correlations of the Riemann zeta function [PDF]
Mathematika, 2023 Assuming the Riemann hypothesis, we investigate the shifted moments of the zeta function Mα,β(T)=∫T2T∏k=1mζ12+i(t+αk)2βkdt$$\begin{equation*} \hspace*{24.5pt}M_{{\bm \alpha}, {\bm \beta}} (T) = \int _T^{2T} \prod _{k = 1}^m {\left|\zeta \left(\tfrac{1}{2}
Michael J. Curran
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Moments of the Riemann zeta function [PDF]
Annals of Mathematics, 2006 Assuming the Riemann hypothesis, we obtain an upper bound for the moments of the Riemann zeta function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments.
K. Soundararajan
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Scalar modular bootstrap and zeros of the Riemann zeta function [PDF]
Journal of High Energy Physics, 2022 Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional conformal field theory with U(1) c symmetry. From this crossing equation, we derive bounds on the scalar gap of
Nathan Benjamin, Cyuan-Han Chang
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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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Pseudomoments of the Riemann zeta function [PDF]
Bulletin of the London Mathematical Society, 2017 The 2kth pseudomoments of the Riemann zeta function ζ(s) are, following Conrey and Gamburd, the 2k th integral moments of the partial sums of ζ(s) on the critical line.
A. Bondarenko +4 more
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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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Riemann hypothesis and Zeta-Function
Bibechana, 2018 No abstract available.
Mani Raj Bhattrai
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