Archivo: ParametricZeta

Descripción: The Riemann zeta function ζ(s) is plotted for s values along the critical line Re(s) = 1/2. Real values are on the horizontal axis and imaginary values are on the vertical axis. Re(ζ(1/2 + it), Im(ζ(1/2 + it) is plotted with t ranging between −30 and 30. The curve starts for t = -30 at ζ(1/2 - 30 i) = -0.12 + 0.58 i, and ends symmetrically below the starting point at ζ(1/2 + 30 i) = -0.12 - 0.58 i. Six zeros of ζ(s) are found along the trajectory when the origin (0,0) is traversed, corresponding to imaginary parts of s Im(s) = ±14.135, ±21.022 and ±25.011. Values for ζ can be found by calculating, e.g., zeta(1/2 - 30 i) using https://www.wolframalpha.com/input of Wolframalpha computational intelligence. Consulted 2 October 2022.
Título: ParametricZeta
Créditos: Trabajo propio
Autor(a): Sandroamt
Términos de Uso: Creative Commons Attribution-Share Alike 4.0
Licencia: CC BY-SA 4.0
Enlace de Licencia: https://creativecommons.org/licenses/by-sa/4.0
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