I just verified numerically that the superlog critical function (originally defined on ) for base satisfies

for all .

So it is quite sure that the piecewise defined slog is also analytic.

Congratulation Andrew!

(However once someone has to prove this rigorously and also compute the convergence radius.)

for all .

So it is quite sure that the piecewise defined slog is also analytic.

Congratulation Andrew!

(However once someone has to prove this rigorously and also compute the convergence radius.)