If we cn find a nonzero function f suc that f(s) zeta(s) = f(1-s) zeta(1-s) if and only if Re(s) =1/2, taking limits as zeta(s) tends to zero implies RH?
If [math] f(2x) = (f(x)) ^4[/math] [math]\forall x [/math]. Also it is known that [math]f(0) = 1 [/math]. Assuming that [math]f(x)[/math] is a continuous function, is it possible to prove that [math]\exp (kx^2)[/math] is the only solution?