Riemann spectrum – Prime numbers

General Riemann spectrum

(Inverse) Riemann spectrum shows resonances at prime numbers

February 13, 2019

Here is a comprehensive description of the topic in the last two posts about the sum formula. It is already well-known as the “Riemann spectrum of prime numbers”. The authors are Geoffrey Glover, Grant Keane and Rita Post. Link: https://people.uwec.edu/mbirika/M395_Riemann/The_Riemann_Spectrum_of_the_Prime_Numbers.pdf

General prime number resonances, resonances, Riemann spectrum

Plot of the Inverse Riemann spectrum: resonances of prime numbers

February 11, 2019

Here is a plot of the Inverse Riemann Spektrum in the range 10 – 100. The first 2000 zeros of Riemann’s Zeta-function have been evaluated. Prime numbers and their powers have been marked on the x-axis (big / small red circles). For Zooming into the picture please click on it.