# The Riemann Hypothesis

by -Job-
Tags: hypothesis, riemann
 P: 399 http://www.youtube.com/watch?v=Oq7AIgrqCj8 the Riemann Xi function(s) $$\xi(1/2+z)$$ and $$\xi(1/2+iz)$$ can be expressed as a functional determinant of a Hamiltonian operator, functional determinants may be evaluated by zeta regularization, using in both cases the Theta functions , semiclassical and spectral ones :)
 P: 399 $$\xi (s) = \xi(1-s)$$ with $$\frac{\xi(s)}{\xi(0)}= \frac{det(H+1/4-s(1-s))}{det(H+1/4)}$$ with $$H= - \partial _{x}^{2}+ f(x)$$ and $$f^{-1}(x)= \frac{2}{\sqrt \pi }\frac{d^{1/2}{dx^{1/2}}Arg (1/2+i \sqrt x )$$ http://vixra.org/abs/1111.0105