I've sort of a solution for the problem of finding complex t, where t^(1/t) =b and b is real, b>eta, by 2-dimensional newton-like approximation.

A plot for t = h(b), b=2..8192 is appended. The line seems to be that one in my previous plot, which leaves the displayed area at the top nearest the imaginary axis.

Gottfried

A plot for t = h(b), b=2..8192 is appended. The line seems to be that one in my previous plot, which leaves the displayed area at the top nearest the imaginary axis.

Gottfried

Gottfried Helms, Kassel