08/28/2009, 11:27 AM
Hey Gottfried,
did you notice that the sum over the logarithms of the eigenvalues of the Carleman matrix of exp converge (for increasing matrix size)?
Moreover also if you take the n-th power of the logarithms, for any n.
This woudl be a direct consequence of the matrix power method (for non-integer iteration of exp) converging to an analytic function.
did you notice that the sum over the logarithms of the eigenvalues of the Carleman matrix of exp converge (for increasing matrix size)?
Moreover also if you take the n-th power of the logarithms, for any n.
This woudl be a direct consequence of the matrix power method (for non-integer iteration of exp) converging to an analytic function.