Contribution of non integer integro-differential operators (NIDO) to the geometrical understanding of Riemann’s conjecture-(II)

Advances in fractional analysis suggest a new way for the physics understanding of Riemann’s conjecture. It asserts that, if s   is a complex number, the non trivial zeros of zeta function 1ζ(s)=∑n=1∞μ(n)ns in the gap [0, 1], is characterized by s=12(1+2iθ). This conjecture can be understood as a consequence of 1/2-order fractional differential characteristics of automorph dynamics upon opened punctuated torus with an angle at infinity equal to π/4. This physical interpretation suggests new opportunities for revisiting the cryptographic methodologies.