3
Does anyone know what the asymptotic of the differences between successive zeta zeros is?
Update
It appears that $\zeta(n)$ is not a bad asymptotic, when the data range is stretched:
r = 3000; Show[ListPlot[(Differences[Table[Im[N[ZetaZero[n]]],{n, 1, r}]]),
m = 100; ListLinePlot[Table[Ze...
Since you did not accept my first answer I am posting another different one:
Add the imaginary part of the zeta function along the critical line, with the Franca-LeClair asymptotic of the non-trivial Riemann zeta zeros, to the derivative of Franca-LeClair asymptotic:
$a(n)=$
$$\frac{\partial }{...
