It's a lot easier to do the Fourier transform of the zeta function without absolute values around it, since we can take
1/(1 - 3⁻ˢ)(1 - 5⁻ˢ)
and use the geometric series to write it as
$$ g(...
@nprofile1q...
It made me wonder what other physical phenomena exhibit this kind of resonant behavior, and I thought of the Titius-Bode law of planets. Wouldn't it be cool if it was explained using the zeta function? (You also mentioned the rings of Saturn, which is a similar phenomenon.)
https://en.wikipedia.org/wiki/Titius%E2%80%93Bode_law
It made me wonder what other physical phenomena exhibit this kind of resonant behavior, and I thought of the Titius-Bode law of planets. Wouldn't it be cool if it was explained using the zeta function? (You also mentioned the rings of Saturn, which is a similar phenomenon.)
https://en.wikipedia.org/wiki/Titius%E2%80%93Bode_law