Results 11 to 20 of about 6,967 (160)
Amplitude-like functions from entire functions
Journal of High Energy Physics, 2023 Recently a function was constructed that satisfies all known properties of a tree-level scattering of four massless scalars via the exchange of an infinite tower of particles with masses given by the non-trivial zeroes of the Riemann zeta function. A key
Claude Duhr, Chandrashekhar Kshirsagar
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Computing Riemann theta functions [PDF]
Mathematics of Computation, 2003 The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given.
Bernard Deconinck +4 more
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Some Numerical Significance of the Riemann Zeta Function
Recent Advances in Natural Sciences, 2023 In this paper, the Riemann analytic continuation formula (RACF) is derived from Euler’s quadratic equation. A nonlinear function and a polynomial function that were required in the derivation were also obtained.
Opeyemi O. Enoch, Lukman O. Salaudeen
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New Results Involving Riemann Zeta Function Using Its Distributional Representation
Fractal and Fractional, 2022 The relation of special functions with fractional integral transforms has a great influence on modern science and research. For example, an old special function, namely, the Mittag–Leffler function, became the queen of fractional calculus because its ...
Asifa Tassaddiq, Rekha Srivastava
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Riemann hypothesis and Zeta-Function
Bibechana, 2018 No abstract available.
Mani Raj Bhattrai
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Supersymmetry and the Riemann zeros on the critical line
Physics Letters B, 2019 We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip ...
Ashok Das, Pushpa Kalauni
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ON GREEN’S FUNCTION OF DARBOUX PROBLEM FOR HYPERBOLIC EQUATION
Вестник КазНУ. Серия математика, механика, информатика, 2021 It is well known that the Darboux problem for the hyperbolic equation is correct, both in the senseof classical and generalized solutions. An integral form of the solution of the Darboux problem ina characteristic triangle for a general two-dimensional ...
M. A. Sadybekov, B. Derbissaly
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The pointwise behavior of Riemann’s function
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2023 We present a new and simple method for the determination of the pointwise Hölder exponent of Riemann's function \sum_{n=1}^{\infty} n^{-2}\sin(\pi n^{2} x) at every point of the real line.
Frederik Broucke, Jasson Vindas
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BEBERAPA TEOREMA KEKONVERGENAN PADA INTEGRAL RIEMANN
Barekeng, 2012 Riemann Integral is integral concept using the sum of lower Riemann and upper Riemann. The sufficient condition for the function sequence which is R-integralable at ï›a, bï is the limit function also R-integralable at ï›a, bï.
Venn Y. I. Ilwaru +2 more
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Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function
Vilnius University Open Series, 2022 In this paper, we continue the study of efficient algorithms for the computation of the Riemann zeta function on the complex plane. We introduce two precalculated arrays-based modifications of MB-method.
Lukas Kuzma +2 more
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