08/30/2010, 12:00 PM
the simple but vague idea keeps spinning in my head.
to compute a real period of a real to real function ( that is not double periodic and analytic ) :
f(x) is the continuum product.
compute the superfunction of f(f^-1(x) + i).
use the fixpoint to find the period of that superfunction.
( e.g. regular tetration base e , clearly has the same period as e^Lz.)
use a riemann mapping to get R -> R and reconsider the new period.
rotate the period by a suitable 4th root of unity.
that is the real period.
end.
it needs to be made formal ...
tommy1729
to compute a real period of a real to real function ( that is not double periodic and analytic ) :
f(x) is the continuum product.
compute the superfunction of f(f^-1(x) + i).
use the fixpoint to find the period of that superfunction.
( e.g. regular tetration base e , clearly has the same period as e^Lz.)
use a riemann mapping to get R -> R and reconsider the new period.
rotate the period by a suitable 4th root of unity.
that is the real period.
end.
it needs to be made formal ...
tommy1729