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

Alain Le Méhauté, Abdelaziz El Kaabouchi and Laurent Nivanen

Chaos, Solitons & Fractals, 2008, vol. 35, issue 4, 659-663

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:4:p:659-663

DOI: 10.1016/j.chaos.2006.05.093

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