Find the solution to a numerical function equation?
I have defined a function:
f(n,v) = Zeta(0,n+1,1-2*Pi*v*I)/Zeta(n+1)
mag(n,v) = sqrt(f(n,v)*conjugate(f(n,v))
For this funciton, n represents an integer, and v is real. Essentially, for different values of "n," I would
like to find the numerical value of "v" at which mag(n,v) is equal to 0.5
Using various combinations of Optimize, fsolve, and NewtonsMethod, and interlacing evalf into the definitions, the program
continues to give me a symbolic expression using the "Psi" symbol for the Digamma function. Is there a way to
define the function strictly numerically so that the symbolic engine does not kick in?
Any other ideas?