On a General Theorem of Number Theory Leading to the Gibbs, Bose--Einstein, and Pareto Distributions as well as to the Zipf--Mandelbrot Law for the Stock Market

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107855The notion of density of a finite set is introduced. We prove a general theorem of set theory which refines the Gibbs, Bose--Einstein, and Pareto distributions as well as the Zipf law.Latex, 10pPhysics and SocietyOn a General Theorem of Number Theory Leading to the Gibbs, Bose--Einstein, and Pareto Distributions as well as to the Zipf--Mandelbrot Law for the Stock Markettext