06/15/2014, 08:17 PM

(06/15/2014, 08:07 PM)sheldonison Wrote:(06/15/2014, 06:31 PM)tommy1729 Wrote: ....

Seems unlikely that sexp contains none of these n-ary fixpoints ?!

And as for the functional equation f(x+1) = exp(f(x)) + 2pi i that is on another branch. So that does not seem to help.

Conjecture: if , than for some positive integer n, there is a non-zero integer m such that

This would apply for L equals any fixed point of exp(z). This conjecture would apply to both the Kneser solution, and the secondary fixed point solution. I think it can be proven by showing for these two solutions, that sexp(z-n)<>L as n goes to infinity.

Wait a minute , we have sexp(R + oo i) = L or conj(L) for all real R and all real oo !?

I thought we all agreed on that for years ?

But R + oo i - n is also of the form R + oo i.

??

Now Im even more confused.

Thanks for the reply though.

regards

tommy1729