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Haros graphs: an exotic representation of real numbers
Jorge Calero-Sanz, Bartolo Luque, Lucas Lacasa
This paper introduces Haros graphs, a construction which provides a graph-theoretical representation of real numbers in the unit interval reached via paths in the Farey binary tree…
On a dynamical approach to some prime number sequences
Lucas Lacasa, Bartolo Luque, Ignacio Gómez +1
In this paper we show how the cross-disciplinary transfer of techniques from Dynamical Systems Theory to Number Theory can be a fruitful avenue for research. We illustrate this ide…
The first digit frequencies of primes and Riemann zeta zeros tend to uniformity following a size-dependent generalized Benford's law
Bartolo Luque, Lucas Lacasa
Prime numbers seem to distribute among the natural numbers with no other law than that of chance, however its global distribution presents a quite remarkable smoothness. Such inter…