A new approach to probabilistic number theory

(Un exposé de Karl-Heinz Indelkofer au séminaire de théorie des nombres de Chevaleret le 2 octobre 2000)

Résumé :

This talk describes the development of probabilistic number theory starting with the famous "Kubilius - model" and referring to the constructions given by Novoselov, Schwarz-Spilker and Mauclaire, respectively, and presents a new approach which is based on the Stone-Cech compactification of the natural numbers.