12/15/2009, 11:23 PM
(This post was last modified: 12/15/2009, 11:42 PM by Base-Acid Tetration.)
(12/15/2009, 11:15 PM)bo198214 Wrote: Hm, ok, but what do you want to show with this construction?
i meant to show that you didn't have to circle the singularities an integer number of times.
but by the arbitrariness of definition of the principal branch of the logarithm, the fact was utterly trivial!
the branch I am giving is pieced from these branches, written in mike3's notation:
\( \operatorname{tet}_{b[\lbrace (-1)^k\rbrace_0^n]} \) for the nth branch point.
Also tetration is now defined for the whole real line \ integers < -2, but those are useless as the while riemann surface has everything that maps to each of the values in [-2,-1].
