Results 31 to 40 of about 618 (159)
Hamiltonian for the Zeros of the Riemann Zeta Function [PDF]
Physical Review Letters, 2017 5 pages, version to appear in Phys.
Brody, DC, Bender, CM, Müller, MP
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Approximation of Analytic Functions by Shifts of Certain Compositions
Mathematics, 2021 In the paper, we obtain universality theorems for compositions of some classes of operators in multidimensional space of analytic functions with a collection of periodic zeta-functions.
Darius Šiaučiūnas +2 more
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On the zeros of the Riemann zeta-function [PDF]
Proceedings of the American Mathematical Society, 1969 Let \(s=\sigma + it\) with \(\sigma\) and \(t\) both real, and put \[ R(s) = \pi^{-s/2} \Gamma(s/2) \zeta(s),\] where \(\zeta(s)\) denotes the Riemann zeta-function. Then, the functional equation of \(\zeta(s)\) can be written as \(R(s) =R(1-s)\). \textit{B. Berlowitz} [Acta Arith.
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Odd logarithmic moments of the Riemann zeta-function
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Antanas Laurinčikas
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An In-Depth Investigation of the Riemann Zeta Function Using Infinite Numbers
MathematicsThis study focuses on an in-depth investigation of the Riemann zeta function. For this purpose, infinite numbers and rotational infinite numbers, which have been introduced in previous studies published by the author, are used.
Emmanuel Thalassinakis
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QUANTIZATION OF THE RIEMANN ZETA-FUNCTION AND COSMOLOGY [PDF]
International Journal of Geometric Methods in Modern Physics, 2007 Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories. This approach is motivated by the theory of p-adic strings and by recent works on stringy cosmological models.
Aref'eva, I. Ya, Volovich, I. V.
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Weighted discrete universality of the Riemann zeta-function
Mathematical Modelling and Analysis, 2020 It is well known that the Riemann zeta-function is universal in the Voronin sense, i.e., its shifts ζ(s + iτ), τ ∈ R, approximate a wide class of analytic functions. The universality of ζ(s) is called discrete if τ take values from a certain discrete set.
Antanas Laurinčikas +2 more
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A weighted version of the Mishou theorem
Mathematical Modelling and Analysis, 2021 In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R.
Antanas Laurinčikas +2 more
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Zeta functions for the Riemann zeros [PDF]
Annales de l'Institut Fourier, 2003 A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.
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Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
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