2014/09/10 by Daniele Vilone, Vilone, Daniele
Biochemistry, Genetics and Molecular Biology · Computer Science · #Cognitive Science and Mapping #FOS: Physical sciences #Fractal and DNA sequence analysis #Physics and Society (physics.soc-ph) #Popular Physics (physics.pop-ph)
paper · pdf · doi:10.48550/arxiv.1409.3120
openalex publication_date 2014/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this short paper, following the most recent advances in complex network theory, a new approach to number theory with potential applications to other fields is proposed. The model by Garcia-Perez, Serrano and Boguna, introduces an algorithm which allows to create a bipartite graph of integers (with primes and composites) statistically very close to the real one. Since the algorithm is defined a priori, we can have a description of the simulated prime number distribution in terms of a known differential equation, which in general can be treated more easily. The so determined properties of the simulated distribution can give useful hints about the behavior of the real prime number distribution. In principle it could be also possible to demonstrate open questions in number theory, proven the total equivalence of the simulated and real distributions.