1999/02/15 by Wellington da Cruz, da Cruz, Wellington
Computer Science · Mathematics · #Benford’s Law and Fraud Detection #Computability, Logic, AI Algorithms #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Number Theory (math.NT) #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.math-ph/9902018
openalex publication_date 1999/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension h defined within the interval 1 < h < 2. The classes h satisfy the same properties of the Farey series and for each value of h there exists an algebraic equation.