05/30/2011, 12:07 PM

i woke up with the following idea

f(z) = 2sinh^[1/2](z) ( half iterate of 2sinh )

weirdzeta(z) = sum n = 1 .. oo (-1)^(n+1) * f(n)^(-z)

and the question where it converges ...

f(z) = 2sinh^[1/2](z) ( half iterate of 2sinh )

weirdzeta(z) = sum n = 1 .. oo (-1)^(n+1) * f(n)^(-z)

and the question where it converges ...