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 [2014] The secondary fixpoint issue. tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 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 $\text{sexp}(z)=L$, than for some positive integer n, there is a non-zero integer m such that $\text{sexp}(z-n)=L+2m\pi i$ 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 « Next Oldest | Next Newest »

 Messages In This Thread [2014] The secondary fixpoint issue. - by tommy1729 - 06/15/2014, 06:31 PM RE: [2014] The secondary fixpoint issue. - by sheldonison - 06/15/2014, 08:07 PM RE: [2014] The secondary fixpoint issue. - by tommy1729 - 06/15/2014, 08:17 PM

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