logoalt Hacker News

jesuslopyesterday at 7:11 PM0 repliesview on HN

Apropos, Wikipedia says at a picture: "(Left) The von Mangoldt function, approximated by zeta zero waves.(Right) The Fourier transform of the von Mangoldt function gives a spectrum with imaginary parts of Riemann zeta zeros as spikes." [1]. [2] explains the details very gently, one can skip parts. So this is a machine with input a function very close to prime counts, and outputs info about zeta zeros. And the machine is Fourier transform.

[1] https://en.wikipedia.org/wiki/Von_Mangoldt_function

[2] Prime numbers and the Riemann hypothesis. Mazur, Stein