2 papers
math.PR2026
Attenuated Poisson Dirichlet approximations for divisibility configurations
Victor Bernal Ramirez, David Torres-Flores, Arturo Jaramillo
We study the point process formed by the normalized logarithms of the distinct prime factors of a harmonic random sample. We prove a quantitative convergence result, in a Wasserste…
math.NT2026
Additive functionals of Harmonic samples: the conditioned Dickman regime
Victor Bernal Ramirez, Arturo Jaramillo
We study the distributional behavior of additive arithmetic functions evaluated at integers drawn from the harmonic distribution. Our main result shows that, for a broad family of…