• DocumentCode
    2366327
  • 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
  • fYear
    2006
  • fDate
    6-10 Nov. 2006
  • Firstpage
    5356
  • Lastpage
    5359
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on
  • Conference_Location
    Paris
  • ISSN
    1553-572X
  • Print_ISBN
    1-4244-0390-1
  • Type

    conf

  • DOI
    10.1109/IECON.2006.347523
  • Filename
    4153124