About binomial densities: some applications in number theory
Noureddine Daili · Journal of Discrete Mathematical Sciences and Cryptography · 2010
The notion of binomial density dates back to Euler who used a roughly equivalent method to sum divergent series. In this work, the view taken in these applications, emphasizing summability of sequences, abelian-tauberian theorems and probabilistic aspects. We illustrate the concept of binomial density by examples of application stemming from the number theory. Some probabilistic number applications are established.