Sonification of the Riemann Zeta Function [PDF]
Proceedings of the 25th International Conference on Auditory Display (ICAD 2019), 2019 The Riemann zeta function is one of the great wonders of mathematics, with a deep and still not fully solved connection to the prime numbers. It is defined via an infinite sum analogous to Fourier additive synthesis, and can be calculated in various ways.
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The inverse Riemann zeta function
, 2021 In this article, we develop a formula for an inverse Riemann zeta function such that for $w=ζ(s)$ we have $s=ζ^{-1}(w)$ for real and complex domains $s$ and $w$. The presented work is based on extending the analytical recurrence formulas for trivial and non-trivial zeros as to solve an equation $ζ(s)-w=0$ for a given $w$-domain using logarithmic ...
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Separation of zeros of the Riemann zeta-function [PDF]
, 1966 Robert S. Lehman
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Characteristic polynomials, spectral-based Riemann-Zeta functions and entropy indices of n-dimensional hypercubes. [PDF]
J Math Chem, 2023 Balasubramanian K.
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The Generalized Riemann Zeta Functions and their Applications in the Calculations of Neutron Cross Sections [PDF]
, 1965 J. W. W., M. Atoji, F. L. Clark
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Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence. [PDF]
Sci Rep, 2023 Nellambakam Y +2 more
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C. B. Haselgrove, and J. C. P. Miller Tables of the Riemann Zeta Function, Royal Society Math. Tables, No. 6 (Cambridge, 1960), 50s. [PDF]
, 1961 R. A. Rankin
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Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function [PDF]
, 1970 K. S. Kölbig
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On Ramanujan's formula for values of Riemann zeta-function at positive odd integers [PDF]
, 1973 Koji Katayama
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, 2009 Global mapping properties of the Riemann Zeta function are used to investigate its non trivial zeros.
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