01/13/2016, 06:41 PM

(01/13/2016, 05:36 PM)sheldonison Wrote: I'm writing this equations in terms of the slog, since my latest program, fatou.gp calculates the slog. The uniqueness criteria, equivalent to Kneser, is that the upper complex plane theta(z) has a very special property, that as approaches +imag infinity, theta(z) approaches a constant. Since theta(z) is a 1-cyclic function, this tells you that:

notice the absence of negative terms as compared with the general 1-cyclic:

Ok, so this looks a Fourier series with unknown coefficients. How do you compute the coefficients ? Maybe it's obvious, but I don't know much about Fourier series.