## View abstract

### Session S09 - Number Theory in the Americas

Wednesday, July 14, 15:30 ~ 16:00 UTC-3

## Creating normal numbers using the factorisation of integers

### Jean-Marie De Koninck

Given an integer $q\ge 2$, we say that an irrational number is {\it $q$-normal} if, as we examine its base $q$ expansion, we find that any sequence of $k$ digits appears with a frequency of $1/q^k$. We will show how one can use the local chaos and global regularity both inherent to the factorization of integers in order to create large families of normal numbers.