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

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  • Le Méhauté, Alain
  • El Kaabouchi, Abdelaziz
  • Nivanen, Laurent

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 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.

Suggested Citation

  • Le Méhauté, Alain & El Kaabouchi, Abdelaziz & Nivanen, Laurent, 2008. "Contribution of non integer integro-differential operators (NIDO) to the geometrical understanding of Riemann’s conjecture-(II)," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 659-663.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:659-663
    DOI: 10.1016/j.chaos.2006.05.093
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