Title :
Contribution of Non Integer Integro-Differential Operators (NIDO) to the geometrical understanding of Riemann´s conjecture-(II)
Author :
Méhauté, Alain Le ; Kaabouchi, Abdelaziz El ; Nivanen, Laurent
Author_Institution :
Inst. Superieur des Materiaux et Mecaniques Avances, Le Mans
Abstract :
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 1/zeta(s)=infinSigman=1 mu(n)/ns in the gap [0,1], is characterized by s=1/2(1+2ithetas). 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 pi/4. This physical interpretation suggests new opportunities for revisiting the cryptographic methodologies
Keywords :
cryptography; integro-differential equations; 1/2-order fractional differential characteristics; Riemann´s conjecture; automorph dynamics; cryptographic methodologies; fractional analysis; noninteger integro-differential operators; zeta function; Cryptography; Differential equations; Fractals; Geometry; H infinity control; Physics; Proposals; Topology; Transfer functions; Vehicle dynamics; Algebraic structures and number theory; Cryptography; Differential geometry and topology; Fractal; Fractal analysis; Signal treatment; Statistical mechanics;
Conference_Titel :
IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on
Conference_Location :
Paris
Print_ISBN :
1-4244-0390-1
DOI :
10.1109/IECON.2006.347523